This thread is starting to go way off in another direction talking about M1 Garands.
This M44 is an odd ball and I am certainly interested in making more sense of her.
Here is what I can offer for comparison: I have a Standard modell 1924 that is in late war trim (probably late 1943, early 1944 ish) and none of the major parts has any WaAs except for the right take down disc on the butt stock. My understanding of WaAs and their application in late WW2 was that they skipped this process in order to keep production as high as possible. Dies and their stamps would also become worn with extended use. Also, taking into account that many of the WaA officials that stamped the parts were more than likely drafted by 1945 in some form or another other than stamping parts, this also leads to a possibility in the lack of WaA stamps being applied or stampings being applied by less than qualified people. Considering losses on the Eastern front by 1944 - early 1945, this is understandable. The stampings on your M44, for example, look brand new and fresh by comparison but there could also be the chance that she was stamped with brand new dies.
How a 1945 M44 has them is a bit of a mystery to me as I am sure it is to others. She defies what we thought we knew about the process of WaA stamping in the latter part of WW2 for Germany. Perhaps, just by chance, someone stamped these WaA on post war with the same or similar dies, perhaps not. Perhaps we may never know for sure ? Either way, this particular M44 is not like the rest of the M44s you see out there and that makes her all the more interesting for the collector.
Are you able to snap a close up macro shot of the WaA in detail ? Natural light would be best without flash from the camera if possible. I will compare them with the WaA on three of my rifles.