@Santaiko I tested it only with basic AI controller, not even entirely as I have 3 characters in my game that I switch between, and they don’t move on their own if not possessed by player. AI-possessed characters seemed to have correct collisions though, but still suffered from the physics problem I described above.
I came up with ugly workaround for this sliding problem. I discovered that the reason for sliding was a never-endig falling mode - instead of switching to Walking mode after landing character remains in falling mode. It basically means I have to enable tick every time the player jumps and check, if player is in falling mode when character is already touching the ground. If character is close to the ground I just force walking mode and disable the tick untill the next jump. It works.
It’s ugly, though, so if anyone has a better solution - let me know.