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You can get the same experience by simply playing one game per gen, preferably the third versions if possible. Arguably, the first Black and White games can be played too for those New Game+ type bonuses that transfer to their sequels, and since the two games offer more than just a difficulty ramp up like Emerald did to RS. Remakes can either be played in place of the originals, or skipped altogether. Playing both the originals and third versions/remakes is redundant, as it's the same adventure as before, with only slight differences, and you're only going a step back if you're going from a third version to the original. As for using other versions of the game as an extra save, you can always delete your save if you want to play a new game, and if you're attached to your Pokemon, you can lend it to a friend or use Pokebank in Gen VI if you have it. If you're using it as another save for extra box storage, there's also Pokemon Box RS, My Pokemon Ranch, and now Pokebank, which are all cheaper alternatives to storing your Pokemon.
I ended up going with Blue->Crystal->Emerald->Platinum->White->White2->X for now.