I think they must be different polls, even though they were both carried out by YouGov. The first one was carried out on behalf of Pink News. I'm not sure who commissioned the one reported in The Times. There's a big difference between the 28% supporting self-ID in the Times and the 57% supporting it in the Pink News poll.
The problem is that this is not an issue that most people understand, and so a lot depends on the way you frame the question. That's true of all polls, of course, but particularly true when it comes to self-ID, which isn't an easy topic to explain.
What's interesting for me is that even if the Pink News poll were right, it wouldn't change anything. Obviously OJ is too dim to understand this, but you can't put into effect a change in law that will affect all women when only 57% support it. You would still have a substantial minority of women who will be horrified at the thought of having to share changing rooms with men, or having their elderly mother's intimate care carried out by a man, or having men compete in women's sports, even if those men have legally identified as female.
And I think those of us who feel like that feel strongly enough that we will fight to the bitter end to stop it from happening. If I were the mother of a teenage girl, for example, there is absolutely no way I would allow her to go to a school where boys were allowed in the PE changing room. There are thousands and thousands of us who feel the same way.