Now I'm paranoid that I might be a weirdo for holding my phone primarily in my left hand even though I'm right-handed. Am I alone in that? I think the reason I do it is because text and navigation are generally left-to-right, so having my thumb on the left side of the screen feels more natural. The animation in this post seems to confirm that.
I'm right-handed and mostly use my phone in my left hand.
I keep it in my left pocket. It leaves my right (primary) hand free for doing other things. When I need the extra dexterity of using an index finger instead of thumb, I'm already holding the phone in the correct hand for my right index finger to poke at the screen.
I was just about to comment the same. Right-handed but mostly use my left hand to use the phone. Because my right hand is often doing more important things! Using a mouse etc.