The way that the full body scanner works, is someone looks at you visually first and genders you (entirely separate from gender markers on IDs). If you pass as a woman, they hit the woman button which tells the TSA agent looking at the body scans to expect things like bras but not to expect external genitals. So if a trans femme without bottom surgery goes through, she gets flagged for having a penis and another TSA agent has to make sure it's not a concealed explosive or something, meaning said trans femme gets groped in the process. However, if the TSA agent sees a scan of a woman wearing a menstrual pad instead, that's just a cis woman on her period, no pat-down required.
Alternatively, if someone passes as a man, they will get flagged if they are wearing a bra. So planning to navigate TSA the easiest may involve using gendered clothing to unambiguously pass as well.

I think you are misapplying the principle of "words are how you use them" here; "his husband" is used not-infrequently and is grammatically valid to any English speaker. There is nothing to correct in the original text.
What this is using, however, is statistical frequency of use, which is a different thing altogether. And you know what relies on statistical frequency of language like this? LLMs.
English is full of words and phrases that have secondary meanings, and even obscure or contextual meanings that are real and correct! We cannot cede less popular language choices to AI spellcheck or we lose our own voices and experiences. Acknowledging that gay people exist is a tiny microcosm of this, but it's important in many other ways too.