Those are two different things, typically.
A business manager taking 10% means they're still running the practice day to day and seeing patients.
PE will come in to buy the entire practice from the doctor/dentist/vet that owns the practice, buying it from them entirely.
Oh, definitely. But what my parent comment was suggesting that PE do for their dentist is what 10% business management companies were already doing.
An acquaintance doctor in vet med was pitched 10% ownership in a practice buyout; PE would do business management. The doctor countered with the PE company getting 10%, since they won't be doing any medicine. The PE company declined.