Churchill is balanced in therms of its tank Vs tank power. 1 Churchill can stand up to 2 stuGs or 1 panther which is fair as they cost about the same amount.
Problem is it has the same ai as a medium but can sit there for twice as long dealing the damage, effectively doubling its ai power. And then it can just smoke + reverse out.
Currently, Falls are very powerful becaus the handily beat most other infantry, and can snare the enemy light vehicles that should counter them. While I don't want to straight up remove their snare and make them even more similar to Obers, I think the ability to force an enemy vehicle to retreat and repair on a squad with such good AI and cloak is too powerful
Replacing their Faust with button would mean attacking them with your light vehicle wouldn't put it out of the fight for the next few minutes. It would also force them to choose between snaring a vehicle or killing infantry, unlike now where you can quickly Faust to force off the enemy LV and then use their great DPS to force off his infantry