Interestingly enough, most slip clutches won't slip when they hit stumps and rocks either. There's a good reason why.
People don't SERVICE those slip clutches like they should. They freeze up while sitting. Rust is the usual culprit. A slip clutch should be serviced a couple times a year. Loosen all the bolts. Use the tractors PTO to turn the drive shaft. If it doesn't release without help, use a long pry bar or something simular to hold the blades and carrier from turning, then apply LIGHT power (with PTO) to the drive shaft. Let it slip for a minute or so to "polish" the friction disc(s). Re-tighten slip clutch bolts to spec.
Eventually, hitting "immovable objects" with a bush hog, and having no WORKING shear point, or slip clutch, and you're bound to do destruction to tractor and mower gears, shafts, and the operators nerves too.
BTDT, got the broken PTO shaft hanging on the shop wall to prove it.