every mmo ever made has had some degree of pay2win, wether monetized by the game company or by third parties. you mix persistence plus the ability to trade/gift between players and that's going to happen no matter what teh monetization scheme. tho pay2win can also happen without trading (and sometimes even in single player games in modern times magically)
pay2win can and does happen even when the game has no combat pvp at all. as if "pvp" is the only ways in which players compete and battle each other as it is in hte mmo genre or otherwise. we win every time we kill a mob or aboss or level up or hit a new rank of rep or get that sweet drop or vendor token item we've been working towards.
so pay2win is not a if it is or isn't proposition, rather it's a scale.
wherein say at one end of the spectrum is wow before the tradeable cash shop items and first party gold sales. and we'll say maybe at another end of the scale is world of tanks when golden ammo was only obtainable by cash and required to be viable.
and then everything else more or less is somewhere in the middle. where games that have similar/same looking revenue first party rmt/cash shop models at first glance can be at different places on the spectrum depending on how much the game is designed to push you into that. so say eve is probably closer to wow than gw2 is on this scale maybe, depending on your positions on each game in relation to the question.
boosters, exp pots, drop rate pots, and character boosts are all considerations for this question of where on the spectrum a game sits as well. because progression speed does matter. as doe the grindiness that pushes sales of those things within leveling progression. just as endgame progression speed, barriers to entry gating and power curves also factor - which for example why archeage is hella pay2win more than gw2 or eve despite having very similar revenue models as both.
but while cash shop contnets are a factor, the presense or lack there of doesn't affect wether a game is going to have pay2win present. just in what shape and form that pay2win will look like.