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 Just Too Hard". 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.