I can assure you the number of lesbians(and gay men) who support trans-rights far outnumber the TERF ones, especially amongst the younger generations.
So do you have any polling that asks lesbians their views on things like single sex sports, single sex changing rooms, the ability to hold single sex lesbian events?
You really need to specify in polls something like, "they still have their penis, they may have a beard, but they are wearing a dress and they feel more comfortable in the women's changing rooms".
The majority of lesbians support that, and there is polling evidence for this?
I don't think it's impossible that lesbians would show higher levels of support, because for one thing they may tend to identify with the LGBT movement and be politically liberal. So it's quite possible that some of them just go along with it out of tribal affiliation, or the social pressure that is exerted on them.
But we really need polling evidence, and probably from multiple Western countries.