Again, you are assuming too much.
In the first link I provided:
Buy music from the iTunes Store: If you don’t subscribe to Apple Music and you want to add your favourite songs or albums, you can buy and download music from the iTunes Store. And if you previously purchased items from the iTunes Store, you can download them to your authorised computers and devices (up to 10 total).
2xsaiko@discuss.tchncs.de 10 months ago
This is about the programs, not the services. Apple Music on Mac can also buy music from iTunes despite not being called iTunes anymore.