It's the way a spring gun recoils that does the damage, it's a two-way kick, so scopes do have to be 'spring gun rated'. Powder-burners are more of a hefty shove backwards. I would think something semi-auto would stress a scope in a similar way.
Having said that, there is a slow-motion clip on youtube of a .50bmg rifle being fired, the whole rifle and scope whips about like a rubber xxx toy