See this is one of those things where specialization also works against AI and robotics. In order for this to happen someone would have to develop and build a system a robot an AI that’s capable of repairing watches. No one‘s gonna do that unless there’s actually a significant market. Also, this isn’t something that could easily be automated. There are far too many different variations of watches and how they work if you hire a watchmaker or a watch repair you’re paying for expertise in addition to find motor skills.
Could both of those be replicated by a machine sure yes, however, is it cost-effective to do that? No. No one is going to do that. The kind of watch that you would actually take to have repaired isn’t the kind of thing that you’re going to just trust to a machine. Watches that are worth repairing are worth a lot of money. You’re gonna probably only really trust that to a person. No one wants to send a $40,000 Omega or $80,000 Rolex to have it repaired just to have it damaged beyond repair by some machine that glitched. There is also no incentive here for any kind of cost cutting or value at scale. Having a watch repaired relative to the value of the watch is insignificant and such low volume that there’s no reason why you wouldn’t just pay a professional person, human to do it