But some right-handers who have been forced to (by breaking an arm for example) can learn to write with the left hand. I have to assume they could learn to be more ambidexterous if they were motivated. It almost seems more like a cultural (see/copy) behavior to be right-only handed. Left-handers may have an inclination to do some things with the left hand, but we also grow up in a world of right-hand designed products.
As for the "handedness" of feet, eyes, ears, etc., I also suspect that has more to do with our patterns of hand use. I'm right-eared probably because I hold my phone in my right hand so my left hand is free to do fine motor tasks. It's not because I prefer to listen with my right ear. I'm also somewhat left-footed because I tend to carry heavy things in my right arm; so my right leg is busy supporting the extra weight as I step up on a step with the left.
I doubt any/many of these studies have been large or thorough enough to really learn anything meaningful about handedness and its related effects.