I tried to check the polling itself, but apparently the report is waiting to be published.
Anyway, the argument is being made:
Three quarters (74%) of those who say they are not supportive of trans people don’t even know a trans person in real life. Transphobia really is rooted in a fear of the unknown.
How does this follow? You could just as well argue something like, people that do know a trans person, are more likely to be under social pressure to believe a crazy idea like TWAW. Knowing a trans person doesn't mean you are necessarily more likely to have the correct answer here. And actually you could be biased in a bad, reality-denying direction.
People know a trans-woman, so they correctly know that they don't have any unfair advantages in sports? It seems far more plausible that knowing a trans woman would possibly distort your thinking out of a desire to "be kind", and you therefore wrongly overlook the unfairness of trans women competing.
The polling about being "supportive" or "not supportive" is all rather vague in the first place. People could mean various different things.
and trans people being framed as a ‘debate’ for the dinner table, is a dangerous mix. Suddenly everyone feels the pressure, and the entitlement, to have an opinion on a topic they largely know nothing about.
Yes, it's very "entitled" of me to have an opinion about who is a woman or man. The average person just knows nothing about this. We all just need to defer to the wisdom of left-leaning journalists that the guy in a wig is definitely a woman.