I’d go for the 1.25″ one if you can afford it and want it. It just look more high end. There are edges that you can’t do bull nose to, like around the sink.
Granite is a lot harder than tile. I think dishes will break before granite gets a dent. However, if you drop something of similar hardness, then you’ll definitely crack it. With granite, it’s heat resistant, so you can put a hot pot on it and not worry. Not something you would do w/ laminate.