Yes the Tiger I had not to fall intact in the hand of the enemy.
There were two demolition charges with timer into the tigers, one had to be placed into the breech of the gun, one into the opening in the firewall to destroy the engine. A typical picture of a demolished tiger is that of tiger 211 of 504 in Sicily. The pics clearly show the turret bin bent up from the force of the explosion.
With tiger ii I don't know.