^This is all very familiar.
The short answer to your question is yes.
(I did mine a few years ago).
...So I'm getting ready to help my buddy on what is now my second round of LED headlight conversions, thanks to Gatoferoz25. I remember having the same issues along with other weird things, like the window buttons were suddenly reversed (I'm guessing because this was meant to be a Euro only conversion?). The fix to my problems was replacing the FRM3 with the latest version and coding it through an independent BMW repair shop that has Autologic, because BMW will not code it for you.... That's it!
(Hope this helps!)
...So we've got the headlights/modules, we've got a new LEDHeadlight wiring harness from Europe and we have the latest FRM3 - Maybe this time, I'll get it right the first time?