They certainly do not. So far as I am aware, no Mosquito mark had counter rotating props, certainly no wartime mark.
I don't advocate using the mouse cursor as a gunsight, but I do raise myself up to see better at times. I always use the gunsight for shooting though.
One thing crazierthanu got wrong was the dive. It accelerates very rapidly in a dive, but watch the speed as it can lose control surfaces on pullout if you overspeed. I have used a dive and then a hard turn to kill more than one La-7 that was on my six.
Karnak as I recall they had 1 mossie with counter rotating props,Mk30, maybe I'm wrong on MK....???
The benifits didn't outweigh logistics of handed engines so it was abandoned.Same could be said for it's handling,they knew it had a small problem,how to fix it,but wasnt done as it would have disrupted production.
Whether the counterrotating Mk was during wartime or not,I'm not sure....