The case has been polished unevenly in the past, so the chamfers, which were originally sharp and consistent, are now inconsistent and rounded off (but not too badly as far as I can tell from those photos).
Regarding the engraving, it's clear that someone hand-engraved that at some point, which seems absurd. Sometimes watchmakers did make small engravings on the backs of lugs (although usually they put their marks inside the case-backs). I have never seen an engraving from a watchmaker on the side of a lug before, but there's always a first time I guess. Ultimately, there's no way to know how it got there. Welcome to the world of vintage watches, where your watch has lived a long life before you acquired it.
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