The more important question with the cooker and pans is stirring clockwise or counterclockwise with each hand?
If I try to unlock a door with the wrong hand I fail as I am trying to lock it more.
Regarding hammers and screwdrivers, a surprising number of the occasions when you need these are in corners. It is in corners that ambidextrousness is exceptionally useful.
I know I've posted this before, but a long time ago, in a former century, I had a job packing diesel engines. The engines arrived, were lined up by a forklift on pallets, and we built a crate around them, out of wood and nails. I joined the team along with another newbie, time served in one of The Forces. The regular staff aligned themselves to the latter, and I was out on a limb. Until the next day when I turned up for work and he didn't. Apparently he couldn't get out of bed because his arm hurt so much. He'd only used one arm to hammer in nails, poor soul
Later on that week I worked out how many nails we each hit in a day. I seem to remember it was in the order of 1/3rd of a mile of nails a day.
They wouldn't do that nowadays, they'd do it in metres.