Anticheat isnt solely about kernel calls. Anticheat systems, depending on what one you are referring to, will inspect runtime memory, data loaded into RAM. It will do a number of things to verify memory isn’t being modified (which cheat engines, among other things, need to do).
Simply, Wine and linux load applications differently, anticheat systems see the difference and assume something nefarious is going on.
Its not as simple as just running anticheat in wine.
edit some additional info from a pretty old article