My first SXS was a German BLNE with cheek piece; after shooting it a bit I found it was no issue; later I found I could move back and forth between that and my fathers superposed lightning with no issues.
I understand the aesthetics, but the bottomline is function and they can be shot well.
Only using it through several rounds or more of skeet will tell. A bigger concern than the cheek piece, but easier to change, is the choking which may be to tight and need to be opened up if you keep it.
right barrel .678"-.631", left barrel .678"-.633".