I'm pretty sure the average GameFAQs voter is thinking closer to how I am about the games, but just more fondly. Do you honestly think the average Pokemon player is thinking about the nuances of rivalry dynamics and the specifics of how the characters interact? Like, from a literary standpoint you're technically right, but technically there are a load of differences in how Bowser's plots to kidnap Princess Peach work out from game to game, too. I'm saying I really really doubt the average Pokemon player thinks about that.
Basically, it takes a certain type of person to care enough about video game characters to frequent a board based on popularity contests around those characters. Pokemon fans on this board have a sort of groupthink on the topic, but I don't think you people are typical of Pokemon fans. Hell, the Pokemon board's reaction to a rally for Mario/Bowser vs Red/Blue should tell you enough on that topic. The "feel" of the rivalry is always the same, even if the specifics are different. That's the important part here.
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No problem!
This is a cute and pop genocide of love!