That's a sort of player-centric view of pay to win where the definition of "winning" is mostly congruent with "beating other players."
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Gameplay-rewarding game rewards are the way *the game* defines "winning" even if it doesn't call it that. That's the definition that I think should be the primary one when judging "pay to win."
It is a player-centric view. I am of the opinion that people who consider getting game rewards faster through paid items "pay to win" are jealous (I am guilty of such jealousy myself). I mean, so what if someone gets more merits than you? I know very very well that it's hard to see people who have more play time than you get more stuff, and just as hard to see people with less play time get more stuff because they paid for it. I know this because I've had thoughts that it "wasn't fair" that a casual player like me, playing a few hours a week, was gated from content either because of time or money. Yes, if you define "winning" as "in-game rewards" than someone with money and time will be able to "win" more and "win" faster. I hadn't thought of it in exactly those terms, but that is a good way of putting it. Still, it's better for me to zen out and be cool about people "winning", because what do they get? Digital items? I can still play the game, even if it's only a few hours a week. Yes, I'm jealous of those who can afford the time or money to get sweet in-game items, but it's not worth it for me to sacrifice time or money to get game items.
I guess the thing for me is the fact that there's no way to "beat" an MMO with that definition - they're specifically designed so that people come back to play them again and again. Yes, you can go through all the stories and reach max level, get all the achievements, but there's still recurring events to play, items to get, money to accrue... I guess the thing is that if achieving MMO items or rewards counts as "winning", there isn't much of anything to "win". Even if you do get all the things and all the money, there's still RP or PvP, or just hanging out to do.
Furthermore, many people do judge their item gathering against others - so even if you're "winning" against the game's rewards system, you can still be competing and trying to "win" against other players.
I'm about to go to a meeting for work, so this post was a bit ill-thought out, sorry if it's rambling or illogical.