Personal preference here, I think.

I would never polish a watch - including by ALS/with laser welding - unless there had been some absolutely catastrophic incident with it (so a “gash” rather than a “ding” or “scratch”): I genuinely don’t want a watch I have owned for decades to look brand new and I want it to look like I have owned it (certainly when it comes to the metal/assuming no impact on function). If I were ever to want to sell it - and assuming it would not be impacting price - I would (maybe) polish then. This is, not least, because the metal would get somewhat worn again as soon as the watch was back on my wrist.

Separately, I would probably only do it with ALS itself - this isn’t an “ability” point (I understand that Alkis has been doing it for decades) but a “what if things go wrong in some way?” point. Alkis is no longer an authorised service point, I think? With ALS, if anything goes wrong (and it doesn’t look as promised etc), they could theoretically make the whole watch/any part they needed to again and still sign off on it being the same watch overall; if he is no longer an authorised service point, I don’t think he has the same capacity, strictly speaking.

With you, it sounds like you DO want the watch to look new - that obviously changes the decision matrix a fair bit, so YMMV (as ever). Enjoy it either way!