So they are poly coated paper?
Either way, the repair dries ridgid. It might work on poly as well, don't know. If your plan is to replace the driver anyway, try it. What have you got to lose, besides the respect of your friends.
One thing I will say, who applies the patch to the front of the cone? Seriously? Apply the patch to the back of the cone and you'll have a hard time seeing the tear. My surround was not damaged though, so can't tell you if that works. My guess would be no, since that has to remain flexible.