“double-edged sword between both you and the other person’s foreheads.“
Purely as an aside, but that’s definitely a bar game played by adventurers with too much booze in their systems. It’s like the knife-between-the-fingers game… Just with your head. And your buddy’s head. And a sword rather than a knife. Okay, it’s completely different, but you take my meaning.
Anyway! Psionics!
Your suggestion is an excellent one, and is already represented when straight up telepathy is involved, but that just scratches the surface of what Mental Mutations can do. To name a few effects, you can…
Light someone on fire, cause hallucinations, hypnotize your foes, see the future, move things with your mind, levitate yourself, teleport, move through solid matter, create a force barrier, make someone berserk with rage, throw lightning bolts, become a walking nuclear reaction, slow down time, alter gravity, or make someone really dizzy.
It’s a bit of a grab bag of capabilities and that’s what made it difficult to create Abilities to work with those effects.

Just substitute cats for powerful psychic abilities and you get the idea.