Freshly serviced watch running slow, AD says it's fine, local watchmaker says no

[elric_of_melniboné]

I got my Rolex Explorer 114270 back from RSC a few weeks ago. In the first week or so, the watch was running at zero to +1 sec/day. On the second week, the watch suddenly went to -3 seconds/day. I thought maybe the watch needed more time to settle down so I just kept wearing it.

On the third week, it was still the same -3 seconds/day. I got a bit concerned at this point so I took it to my local Rolex AD. They said everything is normal. I asked them to put it on a timegrapher and they refused. They said there's no need because it's a freshly serviced watch and there is nothing to worry about.

So I took my watch to a local watchmaker and they were happy to put it on a timegrapher. Here are the results (rate err, amp, beat err):

DU: -3s/d, 231°, 0.0
DD: -2s/d, 252°, 0.0
CD: +4s/d, 211°, 0.1
CL: -1s/d, 207°, 0.0
CU: -2/d, 225°, 0.4

The local watchmaker said the amplitude numbers are quite low and my watch needs servicing even though I just got it back from RSC.

Is the AD correct in saying everything is fine? Or do the numbers indicate something wasn't properly done and I should return it?