What brand and model is your AVR? On my Denon AVC 3800 DD Atmos and the source name is displayed when a Atmos track is played.Not without pressing the "Info" button on my AVR's remote, no.
I found it convenient to have the Amos logo display on-screen as a track played, in part because some albums--and many playlists--contain a mix of Atmos and non-Atmos tracks, and I use the DSU for stereo playback. If I happened to be underwhelmed by a given track's mix, then glancing at the screen and looking for the Atmos logo let me quickly verify whether to attribute my lack of enthusiasm to an upmix or to an unimpressive Atmos mix. But it's really just a personal preference, not worth arguing about. It's just that if they were going to go to all the trouble of making changes to the Apple Music for Apple TV display, then there are so many changes they could have made for the better. . . .