There's a lot to unpack in there, so bear with me...
First some questions:
1 - what state of wind was the watch in for the readings?
2 - what positions did they check?
3 - what was the lift angle on the timing machine?
330 degrees is quite high amplitude and on this movement would be close to, if not already, causing rebanking. The lift angle has to be set correctly in order to get a proper amplitude reading, so if your watchmaker left the lift angle set to the default of 52 degrees, it is no where near the right setting (which is 40 degrees). Having the lift angle set to 52 when it should be 40 will mean that the amplitude is overstated by a lot, roughly 6 degrees of amplitude for every 1 degree the lift angle is off, so 12 X 6 = 72 degrees. So assuming this is what he did, the amplitude would be 258, which is low rather than high, assuming the watch is fully wound and was being measured in a horizontal position.
The data you have given can't be interpreted - data without details is of little value.
To other things in your post - the timing is certainly not great if it was running that slow. No idea how well it was serviced previously by your family member, but looking for an "extremely competitive price" is usually not the way to find the best watchmaker. It's up to you who you use for service, but I would make sure they are familiar with the movement, and ideally have a parts account with Omega.
Cheers, Al
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