It would be the first playstation console that requires an internet connection to play a game, but you're right I do not know the PS5 will not. We really don't know much of anything about the PS5 though, do we? Yet here we are sorting out the cost of owning one because that makes sense.
The thread compares the value of Stadia vs the value of a traditional console. Of course we're speculating the cost of owning a console. Without speculating there is nothing to discuss and this thread wouldn't exist.