When I was talking about servicing a laptop, I was thinking about the usualy components, like battery, keyboard, SSD, fans. Things which can break or are going to wear out over time. By that count, a laptop has perhaps 10-20 "parts". Compare that to the complexity of a mechanical watch.

I don't know the going rate for a watch maker, it is probably not cheap. But I know what I paid for servicing my watches before and a multiple of that for having my dealer upgrade the disk in my iMac. Which still has an internal SATA port, but unfortunately is glued together. This is something which should cost less than a watch service, even at the same rate.