Falls in houses are insane, since you can keep them longer with 4 squad members. I won multiple key moments because of popping falls in buildings to kill them.
I don't quite understand what you're saying, do you mean garrisoning the building the Falls have spawned out of?
So let me here your opinion on the prerequisite of actually debating this issue:
1)Do fortifications exist in COH2?
2)Do Assault Guns exist in COH2?
3)Is the part of design intent of assault Guns to destroy buildings and fortifications?
1)No, not really.
2)Yes, in the sense there are vehicles representing the actual things in the game.
3)No, not really.
Obers are more robust and after their upgrade, they can handle any infantry. The supress infantry with Vet 4. What else do you want?
Going for Luftwaffe is giving too much redundancy.
To place more mines and damage tanks' engines? I can understand your preference, but there's not zero reason to use Falls. You might still feel the actual practical implementation of the distinctions misses the mark, but I'd still say the concept exists. (ALSO, REDUCE HMG34'S VET REQUIREMENTS)