By the definition of the term "Win" it would not by your own admission. One is not winning anything as you so point out. Therefore the term P2W cannot be applied because there is nothing to "win".
Therefore you will have to come up with a new term that can be applied to cases like this.
Regardless, as I said in the previous post. If you want to help to contribute to the debate by attempting to find common ground and not just play the battle of semantics, then I welcome your input. Otherwise, have a great day!