> So if you're stipulating it is read as Apple TV for the device, why would it also not be read the same way for the app using the exact same logo?
The logo of WhatsApp is a chat bubble containing a phone handset, yet it's not called "Chat bubble containing a phone handset WhatsApp".
Of course it can make sense to call the app "Apple TV", to disambiguate it from e.g. the Netflix app on an iPhone. I'm just saying that I don't think that that is its official name, and I also don't think this is very confusing in practice.
Netflix is also both an app and a company! Just say "Apple TV app" or "Apple TV device" if you want to disambiguate them?
> Launching that app in the left hand menu, it clearly states Apple TV+ as an option.
I never claimed that there was no service called "Apple TV+".