That twitter thread is the very definition of revisionism.
They are taking the history of Jim Crow and attempting to apply it to TW. Technically, Black men and (later) Black women had the right to vote in the US, but not until the mid-1960s passage of the Civil Rights Act and the Voting Rights Act were they de facto allowed to vote in great swaths of the country, because of various laws implemented by states — such as literacy tests and poll tax requirements prior to voting.
A better analog for the situation TW faced is the same that faced gays and lesbians — that engaging in homosexual sex was historically a felony and, yes, in the US felons lose their right to vote (that’s starting to change.) The people MOST impacted by this loss of suffrage are Black Americans, most esp. Black males, because of American’s racist “War on Drugs” which disproportionately targets Black Americans.
America has a long history of criminalising sex outside of heterosexual marriage (and a long history of permitting marital rape.) During WW1, American women suspected of engaging in sex outside of marriage were placed into labour camps, because they were seen as detrimental to the war effort.
And it’s also true that from 1905 to the mid-1940s, American women who married foreign nationals LOST their citizenship and could only reapply for citizenship if and when their husbands became naturalised citizens.
There is no way the situation faced by TW is analagous to having a law on the books that forbids an entire class of people from voting due to the fact that they were born female and then having to fight for 70 years to get 35 states plus 2/3 of both houses of Congress to agree that this class of people are permitted to vote.
At the time women won the right to vote — what was a TW? There were no hormones to take, no surgeries. A TW was, in fact, a cross-dresser; it was impossible to be anything else. All that TW had to do, to exercise their right to vote, assuming no felony convictions and that they were white, was show up at the polling booth in male clothing.