I know this isn't directed to me but I posted something similar so I'll bite.
I spend a lot of my time socialising in the LGBT community and my work also involves a lot of engagement with LGBT in educational settings, so I can't provide evidence as such but it is manifestly clear to me that 'on the ground', in these inhabited spaces the sentiment of lesbians is hugely supportive of trans people.
I think that's because we are part of each other's worlds. Our clubs, bars, pubs, events etc involve us sharing space together, getting to know each other and when you have that connection, familiarity and shared understanding of plights you are more inclined to be supportive of each other and inclusive and to want to facilitate the well-being of each other.
The only lesbians that I'm aware if that aren't supportive and inclusive seem to inhabit online worlds, like this one. Of course it is hard to know for sure how many are actually lesbians and how many are claiming to be and misappropriating causes and claims. This is a genuine fear of the lesbians I know who are keen to dissociate themselves from GC feminism.
I would guess the sentiment exists more readily in online worlds because these people have inoculated themselves from the lived realities and potential for personal understanding of trans people. So it is far easier to get to a place of hostility and desire for exclusion because they have chosen to isolate themselves from those experiences with others and that distance makes it easier to other trans people.
Of course those lesbians (if they are actually all lesbians) can appear to be on a mission to spread this psychology to the more inclusive lesbians by berating them for accepting trans lesbians in their spaces. If they were successful in creating that physical segregation and isolation then the damaging pattern would increase, with more hostility towards trans people and more psychological segregation and isolation. But luckily, on the ground, in the community, there is huge mutual support and respect, and awareness of these attempts and they hold no truck with the vast majority of lesbians (and gay men and bisexual people.)