That’s manual installation which is (a) not distro packages and (b) exactly what distro packages are created to avoid.
Maybe I’m just old school and distro package means something different to me, but here is a link to the Home Assistant .deb distro package:
the Home Assistant .deb distro package
Firstly, that’s a .deb but it’s not from a distro. Secondly, that .deb doesn’t contain Home Assistant, it contains some “Supervised” which runs the Home Assistant Docker container: