Voicemails need to maintain a professional consistency that’s aligned with the entity it’s representing. That said, the structure can vary depending on the situation. There’s no template set in stone. In fact, trite and generic should be off the table. The goal should be a balance of uniqueness and practicality.
Oh - if anyone is still curious: I recorded the greeting via the phones custom greeting function, then called to listen to it from another phone, then turned off the phone and called again. Same message. I had wondered if just maybe the phone played the message when on, and the carrier played the message when the phone was unreachable.

A dentist is similar to a doctor. Unlike a doctor, a dentist is going to get far more non-urgent calls as patients will want to know when they can pick up various orders, as well as to book follow-up appointments. The key here is prioritizing so the dentist can respond promptly to the patients who need emergency dental work and other urgent consultations.
3. "Hey, this is [your name]. If you're calling for [X reason], please [contact so-and-so] or [go to our website, send me an email]. For all other inquiries, leave your name and a brief message and I'll call you back within [one, two, three] business day[s]."