And again, it's the specifics of the issue that people haven't really thought about. Shown here, with more support for a vague 'yes' to self ID, (40% supported allowing transgender people to self-identify) but:
'28% said that transgender people should be able to access single sex spaces even if they had not had gender reassignment surgery.'
Which is about the level of support that generally seems to come up when the situation is explained clearly.
'In contrast to the online debate, which is undoubtedly deeply polarised, the general public are not particularly sure and only about a third are following the issue closely.'