Like you and others, I have cross dominance’s; right eyed, left handed, right footed. But it doesn’t explain all of my preferences: I write and eat with the left, play tennis left, swing a hammer left, an axe from the right, drills in either hand, hand planes in the right, screwdrivers in the left, bat right, shoot right, fight in right stance, prefer to kick right, play guitar right, play drums with a right handed setup and seem to have higher grip strength in my right hand.
I should probably just write right handed too, because my writing couldn’t be much worse.