Women wear 6" stilettos all the time so don't even go there about marble being too impractical for real life.

Marble patina · More Info

I've marble in my en suite and it etches easily. With care and maintenance, it's not too bad on a vanity, but it would not have been my choice.

Yes, marble can stain. I would recommend quartz instead.

Etching is the issue with marble although some marble will stain. Etching shows up as loss of gloss, round ring marks from glasses, etc. You might look at Clearstone as it is the only product that will prevent acid etching and it comes with a 10 year warranty against etching and staining.