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One is a Latin word, the other is a French word?
And when you say it's "no coincidence", that means that someone intentionally made it so. Which word do you think was designed to be the anagram? Given that 'senator' is the direct Latin word that predates 'treason' (in its modern English spelling) by thousands of years, it has to be the latter, so do you think some philologist is sitting around going "ah yes, we should spell traïson as treason so that it's a perfect anagram to use as a pun for an office that won't exist for another few hundred years"?
That is literally the definition of a coincidence. Get off Hacker News and go to Reddit. Low information comments like this belong there.