Tankluver: you ask the question as if you assume that every single Carrier was captured by a single unit and used in similar conditions. The fact is many were captured at different spots and times and whatever unit took charge -- it was up to them to do with them what they wished. Think more about your question -- I think you'll arrive at the answer before even posting it.
Rather than asking if German operated Carriers in Normandy had a MG42, why don't you ask if there are any known pictures of them in German hands, still mounting the Bren LMG?