I would think many dental practices in the UK are of this type: either partnerships or limited companies. We just tag them as amenity=dentist (just as we do with GP practices which also list the accredited practitioners at the door). Many practices have brand names, and even single-handed practices usually are not named after the dentist (it makes them easier to sell on retirement).
If you are not satisfied with this, the type of problem you allude to also occurs with medical doctors (primarily physicians) who may share an office for consultations, but practice individually. The base tags arose in the UK, and this type of doctors’ office is unusual. I’m not sure how well either the amenity or healthcare tags handle this, or whether the do it well.
Note in the UK barristers also work in this way, and the collective office is called “a chambers”. The office will take a cut of the individual lawyers fees, but otherwise they trade as sole practitioners.