Simple: If I fire up DotA 2, I have a 75% chance of utterly despising my tean, and them me.

"Everything+Kitchen sink" games like MOBAs, Overwatch, etc, are caught between two masters: 1) the desire to give players lots of options, and 2) the tendency of players to abuse their teammates for how they use those options.

The solution is not to be found on that spectrum---DotA did this a while ago with DotA+ (lol, "+") restricting possible team compositions, and Overwatch did as well (also forced team compositions).

What really needs to happen is players need to start innovating socially, creating trust-based groups that can reap the best of both worlds.

This would require proactivity, but, hey, this is the thread for it.

That's a guild. Many games have them, and some guilds span multiple games. Try playing an MMO, that's where they are easiest to find. You can also find them around some multiplayer shooters.