Both a regular haircut(long) and a number of buzz cut styles can be designed to fully suit; besides the butch/brush cut in the posted photo, an ivy league, crew cut or flat top crew cut.
For a "long" style would change it up a bit, maybe something more like this...
https://i.imgur.com/Lw7blXL.jpgor this...
https://i.imgur.com/nqrvme6.jpgIn general, among the buzz cut styles, butch, burr(short butch, shorter than #2 on top) and brush cuts(long butch, #4 or longer on top), fully suit relatively few guys. Far more guys can fully suit a crew cut or flat top crew cut; even more can fully suit an ivy league. Forward brush styles tend to suit guys with longer faces and quite wavy hair. Buzz cut styles are best groomed with a control wax like krew comb hair styling prep and a boar bristle military brush at home and one of these while on the go...
https://i.imgur.com/EofgdTC.jpghttps://i.imgur.com/7GDgaLR.jpghttps://i.imgur.com/geJlpVa.gifhttps://i.imgur.com/96DSm8I.jpghttps://i.imgur.com/GvNfpWk.jpghttps://i.imgur.com/CBGf4Nc.jpghttps://i.imgur.com/XasghoV.jpghttps://i.imgur.com/1p89vvV.jpghttps://i.imgur.com/doyyw2E.jpghttps://i.imgur.com/d8KSgXg.jpghttps://i.imgur.com/WLJ6QJ1.jpghttps://i.imgur.com/ozp7qRo.jpghttps://i.imgur.com/a7pZThU.jpghttps://i.imgur.com/hkgNbdx.jpghttps://i.imgur.com/EU39hKd.jpghttps://i.imgur.com/AkYojQZ.jpghttps://i.imgur.com/8zyB02u.jpghttps://i.imgur.com/S0s6EUz.jpgAnd here are examples of buzz cut styles....
ivy league, medium taper on the back/sides, low natural edge around the ears, long sideburns(extend to the middle of the ear opening)...
https://i.imgur.com/8otc4Au.jpgivy league, semi-short to medium taper on the back/sides, low outlined edge around the ears, semi-short sideburns...
https://i.imgur.com/cNZMngI.jpgivy league, semi-short to medium taper on the back/sides, low natural edge around the ears, short sideburns...
https://i.imgur.com/iXIwOJf.jpgguy on the far right, same ivy league, side profile view, semi-short to medium taper on the back/sides, low natural edge around the ears, short sideburns...
https://i.imgur.com/2kFJiuV.jpgivy league, medium-long taper on the back/sides, low natural edge around the ears, medium sideburns...
https://i.imgur.com/FFkDydL.jpgivy league, long taper on the back/sides, low natural edge around the ears, long sideburns...
https://i.imgur.com/AnIp7W1.jpgsame ivy league, side opposite part, long taper on the back/sides, low natural edge around the ears, long sideburns...
https://i.imgur.com/NU2JsAB.jpgmedium crew cut, semi-short to medium taper on the back/sides, low natural edge around the ears, semi-short sideburns...
https://i.imgur.com/a2Rtb4A.jpgmedium crew cut, semi-short taper on the back/sides, short sideburns...
https://i.imgur.com/GAp2SIQ.jpgmedium-short crew cut, textured top, semi-short taper on the back/sides, short sideburns...
https://i.imgur.com/cNV5Myb.jpgshort crew cut, semi-short taper on the back/sides, low outlined edge around the ears, short sideburns(extend to where the ear cartilage attaches to the skull)...
https://i.imgur.com/Ds6Epvt.jpghn't crew cut...
https://i.imgur.com/WsOqOg6.jpgflat top crew cut, medium taper on the back/sides, low natural edge around the ears, medium sideburns(extend to the top of the ear orifice)...
https://i.imgur.com/SMrkPXL.jpgshort flat top crew cut, semi-short taper on the back/sides, low natural edge around the ears, semi-short sideburns...
https://i.imgur.com/7XLaRMD.jpghn't flat top crew cut...
https://i.imgur.com/cCOC9V8.jpgbutch, short taper on the back/sides...
https://i.imgur.com/pGuTa7C.jpgbrush cut, medium-long taper on the back/sides, low natural edge around the ears, long sideburns...
https://i.imgur.com/GXXExon.jpgburr, short taper on the back/sides...
https://i.imgur.com/lJtTMPk.jpgbutch with a bumper, semi-short taper on the back/sides, low natural edge around the ears, medium sideburns...
https://i.imgur.com/IJn5nEb.jpgbrush cut with a bumper, medium taper on the back/sides, low outlined edge around the ears, medium sideburns...
https://i.imgur.com/tZIqHng.jpgforward brush, medium taper on the back/sides, low natural edge around the ears, semi-short sideburns...
https://i.imgur.com/mE1Zs82.jpgforward brush, semi-short taper on the back/sides, low natural edge around the ears, short sideburns...
https://i.imgur.com/gTFbQBl.jpgTapers, extra long to short...
(Note, tapers below are shown with regular haircuts, when worn with shorter styles such as a crew cut, the lower edge of hair growth and lower area of the back/sides will be approximately the same as when worn with a regular haircut but the mid to upper parts of the back/sides will be cut shorter.)
regular haircut, extra long taper on the back/sides...https://i.imgur.com/ndRLbmv.jpg
regular haircut, long taper on the back/sides...
https://i.imgur.com/EtTamWs.jpgregular haircut, medium taper on the back/sides...
https://i.imgur.com/wPtNlS2.jpgregular haircut, semi-short taper on the back/sides...
https://i.imgur.com/lnog9Z2.jpgregular haircut, short taper on the back/sides...
https://i.imgur.com/17C2Ng3.jpg(Note: a regular haircut is also known by other names including taper cut, businessman's cut, short back and sides.)
lower edge at the nape blocked off in a slightly rounded pattern with squared corners...
https://i.imgur.com/itkAjr4.jpglower edge at the nape: tapered, left; blocked in a squared pattern with squared corners, right...
https://i.imgur.com/LwpNs0Y.jpgDepending on type of hair, an ivy league can be styled like a short version of a regular haircut, crew cut or forward brush.
1)parted and brushed to the side with or without a short pomp at the front hairline, part can be deconstructed.
a) parted and brushed to the side, short pomp at the front hairline...
https://i.imgur.com/ZCpYFCR.jpghttps://i.imgur.com/IsApc5z.jpgb) parted and brushed to the side, no short pomp at the front hairline...
https://i.imgur.com/8qvK9Xu.jpgc) deconstructed part, brushed to the side and forward, no short pomp at the front hairline...
https://i.imgur.com/1KxX1QI.jpg2)like a crew cut, brushed back from the forehead with no part, short pomp at the front hairline...
https://i.imgur.com/pOE42fJ.jpg3)top hair brushed forward, short bangs brushed down on the forehead like a forward brush or short bangs flipped up at the front hairline...
https://i.imgur.com/buAhqge.jpghttps://i.imgur.com/spIxtjI.jpgivy league, textured top...
https://i.imgur.com/Ko4NcFt.jpgshort ivy league...
https://i.imgur.com/2voqPHW.jpgHair only grows at an average rate of 1/8" per week. A photo is the best way to describe a style to a barber or stylist.