I am not sure your watchmaker went to that conclusion because of the short test he performed on your watch. I would rather think - from what you said and because it makes much more sense - he told you that because of what he know about this caliber.
I do not know the specs for the 600 series -
@Archer will certainly know - but telling you not to expect better than 20 secs a day seems carreful. I guess a good watchmaker can do better on 600 movements in good condition or if he can replace parts. But telling you that seems a good policy in order to avoid any disappointment.
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