I haven't had anything to do with claw mounts, but I have used EAW pivot mounts and have never experienced anything that would make me think that they are not fast enough to operate.
Using a good technique, a scope mounted in an EAW pivot system can be taken off or installed in very little time.
We are talking WAY under one second to either remove or replace the scope.
As far as difficulty in operation of a pivot mount goes, I find it hard to believe anyone would have any trouble.
The rifle is held with one hand, and the lock is released and the scope rotated and removed with the other hand.