" ...and saw what looks to be a SEAMASTER 30..."
and saw the reference, that stands for different executions from a watch, that also
can be a seamaster
it is part of a merketing strategy to create different modell lines,
such as seamaster, constellation ...
these lines stands for different attributes, that are also vissible
for the clients by engravings ...
so the seamaster line for example stands for/suggested a higher value product,
as a "only" Omega basis product
evering is ok - it is a Omega
would be the dial Seamaster signed and the caseback Seamaster
engraved, it would be a Omega Seamaster
I don't think it's as clear cut at that. I also own a reference 135.003-62-SC that lacks both a "Seamaster" signature on the dial and a hippocampus on the caseback. Notwithstanding those deficiencies, Omega clearly identifies the watch as a Seamaster 30:
It's not unheard of for some Seamasters and Geneves to have 'sterile' dials.
Both my watch and the OP's watch are Norman Morris OXG imports. That makes me wonder if sterile dials were exclusively or mostly for the US market.