Well, what I see here is a little disturbing to be honest...
First, the timing machine is not set to the correct lift angle - it should be 50 degrees and not the 52 it's set for. This means that the amplitude numbers displayed appear higher than the actual amplitude, by about 12 degrees.
Second, if the numbers on the lower slip are after the service, and taken at full wind with the chronograph off as they should be, then I'm not sure the service was done well. The amplitude numbers should not be lower than before the service certainly so that is a big red flag for me given what I can see. If we look at the dial up amplitude, it was showing 283 before service, and is now 258. If you take into account the error of the lift angle, it's actually only 246, which is far too low for horizontal full wind amplitude on a freshly serviced watch.
Now to your point about the 5 position adjustment, again I have no idea what this brand required on this watch, so I can't say if that meets their standards or not. Having said that, the Delta reading (difference between the slowest and fastest position) is 10.3 seconds after service, and that is a good result, despite the amplitude issues. Omega requires that the 1861 family (1861, 1863, 1866) should have a Delta at full wind no more than 15 seconds, but measured over only 3 positions. So this being measured over 5 positions exceeds that standard easily.
But to put this into perspective, I just finished servicing a Cal. 863 and the Delta over 6 positions was just 6.6 seconds, so adding in one more position and still better than what you have here. So clearly these movements are capable of much better timing than the standards require, so the numbers you have for the Delta are good, but far from being something truly extraordinary.
Hopefully your watchmaker offers a warranty on his work.
Cheers, Al