They can ban you from that because its their service. That's the difference.
There is no difference. They never stated they were selling you software, they said they were licensing it to you- in other words, providing a service.
Noone said we're talking about apples. But I think you'll find that not only is your strawman completely ridiculous (you don't own a whore when you pay her... theres no purchasing!, tattooing her isn't at any point part of the transaction, etc)
Where's the difference? A game sits on a shelf, you give the clerk money, you take the box with you to do stuff. A whore sits on the street corner, you give the pimp money, you take the whore with you to do stuff. At no point are hacks or tattoos an explicit part of the deal.
But when you goto a shop and exchange money for something on a shelf, guess what... You just bought it!. This is the entire basis for our society and culture.
Also I think you'll find with the vast majority of consumer purchases that it is that simple, even with things more complicated than fruit.
You are grossly mistaken. As an extremely simple example, suppose I purchase a game- I own it now, yes? So it's perfectly within my rights to make copies of it and undercut the developer with it, right? Except, now people who spend money to produce games can't make a profit, because people who didn't spend money making it can replicate it and sell it for nearly pure profit. "I bought it it's mine" doesn't work here.
Furthermore, there's the issue of what "the game" encompasses. The game has a logo, right? So if I buy the game, and I own the game, I obviously own the logo and can put it on whatever I want, right? Again, no. Doesn't work so well.
So clearly, trying to treat most complicated objects like discreet, wholly owned, no-strings-attached products doesn't really work. Games are an extreme example of this- you've got brand name, characters, races and organizations, underlying code for everything from resource acquisition to how the graphics display, potential updates from the parent company, and so forth. Trying to lump these cleanly into "you purchase and own this" and "you did not purchase and have no interaction with this" - much less trying to put them all in the same category - is utter madness.