Random uninformed guess: women are on the whole more open to sharing their problems to begin with. So it’s probably less “teenage girls turn to AI with their problems while men go to therapy” and more “men continue to avoid talking about their problems to anyone, including LLMs”.

It is worrying that social interactions and support are getting delegated to algorithms at such high rates but I’m not convinced there is a significant gender gap to be explained on the technology level. Dudes probably ask the word prediction machine plenty about cars, tech, or weird conspiracy theories.

Well the math they did was 0.5/0.3 = 1.(6)

To make the logic for that math easier to follow, imagine it was actually 60% of teenage girls rather than the 50% from the article.
If you pick a random man, there is a 30% chance they consult AI. If you pick a random girl, that chance is instead 60%. So twice as likely, or expressed a different way, 100% more likely than when picking a random man.

Switching back to the 30/50 numbers you get that a random teenage girl is (at least) 66% more likely to turn to AI than a random man.
To me, this seems like a reasonable way to compare these numbers and it makes it clear that the difference is actually pretty significant, contrary to OP comment’s claim.