Not sure, but there seems to be some difference in the Multifunction buttons between the various shifters. This is worth looking into as well.
I did some research, but haven't gotten a good answer as to which Multifunction buttons work with which shifters, nav setups, etc.
There are a ton of button combos for the Short and M wheels (four I think). This link to the various button options is the best info I've been able to find:
Linky
It may be that all the 6-wire variant Multifunctions work with any paddle setup (there are 4-wire and 6-wire Multifunctions from what I can see), or..???
I have yet to get any definitive answers. Not sure if you have Nav or iDrive, but it's worth looking into.