There is definitely no head tracking for music at this point, it is just a Dolby Atmos mix rendered either to a surround speaker system or headphones via HRTF.Where do you see Dolby Atmos badge you mean the logos next to album? It looks like there is no head tracking in Spatial Audio for music.
The Dolby Atmos badge appears next to the lossless/apple master logos on albums:
... but some albums contain Atmos tracks without the album itself being badged as Atmos - take the 25th anniversary edition of Automatic for the People by R.E.M. - this multi-disc release has an Atmos-encoded first disc but the remainder is regular stereo. Thus, the Atmos logo does not appear against the album:
Playing tracks from the first disc of the album reveals the Dolby Atmos logo on the track screen itself - have to use an iOS screen grab here because macOS seems totally messed up at present: