Yes, a Mark III should have the radial brushed finish.
If it doesn't, it can affect value, but if it doesn't bother you then leave it alone.
You can restore it to at least a semblance of the original finish yourself.
Mask the crystal and the crown and pushers, and then lightly rub it with some very fine grit emery paper, or scotchbrite in the radial pattern.
Works to clean up the case on my Mark II.[/
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