Nobody will know whether the names of the two faucet sets are the same. Just be sure that they're compatible stylistically in a general sense -- like both angular, or both modern, or whatever.

I have no idea what pictures in your post are supposed to represent what you have, want, wonder about, or... ??

thanks. I apparently deleted what I'd said re pictures about houzz changing preferences. I now have an opinion on lighting, whereas before I would have told the contractor to do what's easier for her. Now, when possible, I'd prefer sconces to over the mirror lights.