Ouch! Hope you heal up quickly and well!
FWIW I find my 1911 much less odd feeling in my weak hand. I don't think it has much to do with my 1911 vs my Sig ergos, but rather by the time I tried shooting my Sig in my weak hand I had several thousand rounds through it. Whereas I starting doing practice with both hands right away with the 1911. The Sig still feels weird in my left hand. I know you're a big fan of your Sig, but maybe try a pistol you've shot less overall.