My doctor (well, their hospital system) uses Epic/MyChart as their EMR. I also have the MyChart app on my phone. I get a push notification via the MyChart app when anything new posts to my chart - no phone call, text, or email required. And I don't want the push notifications, I could opt out of that too.

Surely most doctors offices use a vanishingly small amount of EMR providers, and they could support similar very easily.