Shouldn’t ALL of the presidential election ballots across the US contain the exact same candidates from which to choose?

I posted a question this morning stating that Kanye West is listed on my 2020 general presidential election ballot as a candidate for the vice presidency under the American Independent Party. Another member here read my question and in her answer, she stated that West was not on her ballot. (I do not know in which city and state she lives; I am in Southern California.)

This difference in ballots brings up an issue of vote-splitting, or of depriving one candidate of potential votes and potential vote percentages because a certain number of voters will be able to choose a candidate that other voters cannot choose. I am well aware that each state and/or separate jurisdiction of registrars has its own rules and regulations for a candidate getting on a ballot, which includes time constraints by which they must file.  Even with those differences in mind, the final analysis on Election Day should come down to the same choices being presented to all voters, correct?

It just seems strange that one set of ballots in one jurisdiction differs from another set of ballots in another jurisdiction, how can the system be deemed fair and transparent?

CAVEAT: I am not referring to differences of ballot choices for state or local candidates/measures/propositions, etc., this is specifically about the presidential and vice presidential election.

This is the original question: https://answermug.com/forums/topic/117106/are-we-living-in-the-twilight-zone-kanye-west-is-actually-named

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