I'm sure ours is left-pawed! Our previous cat had no problems opening a door if it was slightly ajar. He'd put his right paw out and hook the door and give it a pull until it was wide enough to get his head in the gap.
Our new cat is stumped by the same situation. Instead of using his right paw to open the gap, everytime he lifts his left paw. Which has zero leverage on our doors which open to the left. And then he gives up and claws at the carpet instead! I've even lifted his right paw for him to show him what to do and he still doesn't get it.
He's either
a) left pawed or
b) stoopid!