Earlier quoted context omitted.
Maybe not quite the same, but I will point out that “Apple TV” and “Apple TV+” are not just two distinct products, but are in fact entirely different categories of product. One is a piece of hardware akin to a Roku. The other is a streaming service akin to Netflix.
I use both and I haven’t found it too confusing, to be honest. I just think of it as Apple TV (streaming device) gives access to Apple TV+ (streaming service).
Apple TV (app) gives access to Apple TV+ (streaming service)