Unless watches are a hobby for you or something, I don't think that's a good idea. In fact it's the point of the article that it's better if it's something less valuable, but meaningful to you (and hopefully reasonably maintainable/durable).
Some relatives apparently gave my father a silver spoon, with great ceremony and seriousness, because he was the last carrier of our last name. It was not a very pretty spoon, and it was more than a little odd, since I've since done some genealogy research and found out that we have plenty of relatives with that last name (admittedly they mostly converged on a slightly different spelling, our common ancestor living before that sort of thing was standardized).
There are so many things I would have more loved to have from those ancestors than a spoon.
From another ancestor, we have a chest, an "America suitcase". This ancestor, my great-great grandmother, was supposed to go to America with her parents, but they changed their mind at the last moment and went to Northern Norway instead. It's dented and worn, and it probably wasn't a very nice chest in the first place, since they were poor. But I think it's a much better heirloom - it is something signifying a very important crossroads in my family's history, and it even documents it to some degree (there's a year and initials painted on it).