Chekov looked like a seventeen year old virgin in the 2009 movie.
(In the nineties where I went to school, there were plenty of gay kids under 16. The gay kids actually had their shit together, because announcing (and proving) their individuality was such a song and dance. It was the straight boys and girls who didn't end up losing their virginity till almost their 20s at university.)
I think a major reason that Sulu was chosen was because of Demora.
Gay family man with children.
Classy. Tired. Old. Safe.
Then people say, "look at how he loves his kid, I want to have a kid so I can be a great dad like Sulu!"
(Putting my Nerd hat on.)
If it's a family name, Sulu might have named two genetically different daughters Demora.
If it's a family name from Kelvin Sulu's husband, then it's unlikely that straight Sulu from the prime Universe with a female wife would have named his daughter Demora.
If Kelvin Demora is genetically identical to Prime Demora, then her creation was built upon from the same genetic donors, sexually or technologically.
Sulu + Unknown person.
Sulu's husband + Unknown person.
Sulu's husband + Sulu.
Unknown person + unknown person (ie adoption, duh.).
Elizabeth Tucker was a Binary Clone. Same tech, 100 years better. The gender of the donors is irrelevant, although if the donors were boy/boy, it should be impossible for their clone to be a girl without intrusive genetic manipulation which triggers rules about Eugenics (please not this rabbit hole again).
Even with a female wife, hypothetically Prime straight Sulu might have still made a clone of himself and called that child Demorra, or adopted a girl and called her Demora who might have been genetically the same girl in both timelines.
Although that would mean that Sulu would have been seeking an adopted child at nearly the point as the other Sulu when Demora was ready to be adopted, which means that Both Sulus had dispensed with their bullshit starter relationships and found their true love at the same time, which means that gay Sulu can't have had muddled period where he thought he was straight, chasing after the wrong women instead of the wrong men, because that would have added a couple years to his 5 year plan about when he was ready to settle down and have children.
Adopting the same child at the same time in that childs life, baring gross coincidences, must mean that Kelvin Sulu and Prime Sulu have the same dating histories on the path to marriage and children that the interconnection of Sulu and his daughter Demora still intersected, whether she was born, created or adopted.
Prime Spock.
(Uncle Spock?)
Prime Spock throws logic out the window if he decides to "fetch" Sulu's daughter for Sulu, if Kelvin Sulu and Prime Sulu's reproductive windows were out of sync, and Spock decided that this was a relationship (father and daughter) that needed a nudge in the prime direction, genetically the same Demora could have been "forced" on Kelvin Sulu by Old Spock.
Obviously if genetically the same Demora is from mostly Kelvin Sulu's husband, then it's quite impossible for Prime Sulu to have been straight.
