Unless it’s changed, Omega replaces the whole movement when you send it in for service. I believe it’s up to version C.
So here was the latest sequence of events. It seems to be a little different than what I've experienced before, but not necessarily for the worse...
Instead of sending mine in personally, I dropped my watch off at the Orlando boutique (I was in the area dropping my plane off). The lady gave me the standard "they'll look it over and see what needs to be done." I did giver her the list of grievances (light failed...again, movement).
She also said they only do a full service every 5 (?) years (I can't remember what the time was, but this was last serviced in 2021 and it wasn't in the window).
When it came back, they had fixed the light and said the movement was working correctly, but the watch needed a new battery. Interestingly, the second hand was not pausing when I sent it in, just the movement would get way off. I was worried that meant the problem wasn't fixed, but it is what it is.
Boutique UPS'ed my watch to me free of charge when they got it back.
I've worn the watch 6 out of the last 7 days at work and the movement has been spot on, so I guess it was the battery. We'll see how long the light lasts.
It looks like Omega is opening a new boutique up in Jax again in the old Tesla store, right across from....Rolex. It's supposed to be open this summer.