Very true. I simply see that as a pro, and not a con, and put the onus to address the core problem of some players potentially feeling bad on the DM's shoulders, with creative solutions. I understand that is asking a whole hell of a lot, but I think its worth it.
One thing old school DnD did to address it was to give martials leadership mechanics. While the wizard could destroy an army if he wanted, he lacked mechanics for assembling and leading one well, which were given to a fighter.
Yeah, made the hair on the back of my neck stand up a little bit. The fridge door would function here as a large lever, and a cat's arm is not particularly sturdy.