What is this watch?

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Also looks like a women’s sized piece.

I believe that the cal 1020 is about 28mm in diameter, which makes me think the case is 33-34mm.
 
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Integrated bracelet. Signs of it requiring a service as it has rub marks on the roter.

Also looks like a women’s sized piece.
for vintage watches what would be considered mens size
 
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R rohin
for vintage watches what would be considered mens size
Looked sub 32mm due to the guys huge fingers. Still think it’s sub 34mm
 
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R rohin
for vintage watches what would be considered mens size

Well the standard sizes for vintage dress watches for men are around 34-36mm.

It seems you're considering pieces at a sub $200 price point, and well the examples that you've provided are not exactly desirable. If you really do like the designs by all means go ahead but if not you should keep looking and researching.