I would be concerned about cobblestone streets too.
However, I have the nude Rockstuds. By far my least practical high-$ purchase. And I haven't worn them more than a half dozen times a year. But when I do want to wear them, I love them, and they are now my go-to dressy shoe choice. I don't have many dressy shoes, and my casual lifestyle really doesn't warrant pumps very often. But when I want to wear dressy shoes, many look too conservative for my taste. I got the Rockstuds with the intention of keeping them for many years. I love that they are comfortable enough to wear all day, dance in, etc. And honestly, I bought them at a time when budget was generous and I could justify such a purchase. We're stepping back our spending these days, so my splurges will be much more modest. So I'm kinda glad I got them when I did, and I'm doubly glad I splurged on such a comfortable shoe with a modest heel, because my feet are getting fussier, but they still work wonderfully for me.
I think if they make your heart sing and you want to find reasons to wear them, you will. But you're smart to really consider whether you'll want to wear them long term.