Anyone who thinks evil characters have to be jerks to their own party isn't playing an evil character, they're playing stupid characters.

If anything, evil characters that are not morons should be more fair and more protective of the party, because if they get caught doing something against the group, in their own mindset it is perfectly justified to immediately kill them over it. And even if they don't get killed, finding another competent group you can work with to accomplish your goals is difficult.

Evil characters can and should genuinely care about some people. They should also find some people to be sufficiently useful tools, even if they don't genuinely care for them, that maintaining them is worth some inconvenience. Anything less is being stupid evil. I can play dozens of different very evil characters that do not fuck over their party. Some of them can even get along in a party of mostly good people.

So does it remove some character concepts from sessions? Yes: the stupid, antisocial types that cannot work with a team and are dumb enough they'll get themselves killed before reaching fourth level probably.