By default, the Internet is rated X. That's just a fact. Mainstream platforms pull any material that's explicitly pornographic, but there is a delay, and children will be exposerd to adult content.
LGBTQ stands for "Lesbian, Gay, Transgender, and Queer" - which are both legitimate sexual identities and genres of pornography. If the software is confident it can distinguish between the very different meanings of "lesbian" vis-a-vis content, then great. But I don't believe that for a second.
I have a child who is regularly exposed to terrible things online. It's like playing whack-a-mole. Schools are one of the big chinks in the armor. I can't control what she's exposed to there.
If I couldn't afford private school, I couldn't even chose what school she went to. I'd be stuck with whatever policies the local public school has.
We don't let any stranger just come on to the playground and chat with kids.