I doubt there is any effective difference, my Audax bike has been 2x10 Ultegra shifters, 3 x 9 SORA shifters & 3 x 10 mixed Sora/Ultegra with the same RD-M772 for all, (nominally 9s but it just pulls what the shifter tells it), 10s 11-36 & 9s 12-36 cassettes, over 25,000 kms combined, maybe I have broken some law of the universe but it all seemed OK to me.
PS I think it might have had a RD-M771 when it was originally 2x10 as there seems to be a spare one in the parts box.