The sling isn't shown in enough detail to say conclusively, but looks like it might be an M38 sling (looks pretty short, plus leather reinforcements). Do the leather pieces taper out to a point?
I would agree that the escutcheons have been out, plus they are sanded. Undisturbed ones will have linear grind marks from where they were finish sanded in situ on the stock, and the screws will almost always be clocked with the slots very nearly in line with the slot:
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No, not an M38 sling for sure. I haven't seen one like it either.