tl;dr: do you put your mouse on the left, regardless of your 'handedness'?
I'm right handed [note 1] but have put the mouse on the left for more years than I want to say.
When mousen were new, my gripe was, "now I need to flop back and forth from the mouse to the Enter/Arrow/etc" cluster, and that's <whine>Just Too Hard</whine>". Then I found that if the mouse is left of the keyboard, under the left hand, here we go!
Never looked back.
Upside: Two-handed driving: (example) websites: bigscale navigation with the mouse, fine tuning with the arrows, and no need to switch hands.
Downside: (example) On Other People's Machines, fancy mousen that are RH-specific don't work when playing "pass the keyboard (and mouse) [note 2]".
Not sure: "It feels natural": So many years that it's only anecdotal.
I seem to see (or used to, pre-Covid!) that left-mousing (regardless of other aspects of 'handedness') is a minority preference.
So, the question: if you have explored this, what has been your experience?
Notes:
[note 1]
I have parents and siblings who are left-handed, but I am "right-handed" based on Intertubes(tm) questionnaires, and day-to-day preferences (knife&fork, etc). I guess that there could be some flexibility from that genetic inheritance.
[note 2]
I don't use a 'left handed' mouse (it's a vanilla symmetric thing, and cheap!), and I don't swap the buttons (so, all I need to do at the library/kiosk is pull the cable to the other side). I see this as important: maintain 'lowest common denominator' compatibility.
Solved it by placing the mouse on the left with the tracking window covered. I have a trackball for the right hand. So I position the cursor my moving the trackball, lift my finger and then click or wheel with the left hand. Can still click with the trackball if my hand is over the keyboard for infrequent operations. Don't have to think about it and no more wrist pain.