"Trans people have always exsisted and will always exsist"
Someone probably should have run that one through a spellchecker before they went to the trouble of painting it. It doesn't exactly fill you with confidence about the age or level of education of the person who made it.
Trans people have only "always existed" as an escape route from misogyny and homophobia. The modern sense of trans - this idea of the begendered spirit 'assigned' to the wrong body - really only caught on in the early 00s. It was fueled by the media and by websites like Tumblr, and only got as far as it did into the mainstream because the ideology attached itself to the gay rights movement and took advantage of people's desire to be kind.
The cult is already losing ground. In fifty years time I think historians will look back on the trans craze the same way we view lobotomies and the Satanic Panic.
"Predatory men are the problem, not us!"
The trans movement contains, and has actively shielded, many predatory men. Many with gender recognition certificates. Even the ones that don't are covered, as a core belief of the movement is that when a person says they are something, they can't be challenged, and it is "gatekeeping" to ask them to prove themselves. Trans men are men and trans women are women, etc.
But trans women are actually men, and they offend at the same rate as other men. This includes violent crime, and crimes of a sexual nature. Statistically, they are as much of a threat to women as any other man. Not all men will commit opportunistic sexual crime against us - but enough men do, that blanket protection in our most vulnerable spaces is a good idea.
"Not us"? I would suggest the trans person who painted this sign learn a new phrase: "It's not all about us."
"This lesbian says trans women are women"
The sign is covering the person's face, so no way to know who's holding that. But regardless, one lesbian can't speak for all lesbians. Or all women for that matter. If one woman in a group of ten wants to let a man into the toilets, she doesn't have the right to speak over the other nine to get her way. So frankly, who cares what this one person thinks?
"Sex is not binary"
Yes, it is. The fact that disorders of sex development exist doesn't change the fact that human beings are a fundamentally sexually dimorphic species. There is a sex that makes the large gametes (ova) and a sex that makes the small gametes (sperm). You need both to reproduce. There is no third sex capable of interacting with either gamete to make new human beings. Just because the sexes have occasional differences in presentation, doesn't mean there aren't still only two.
You can say this and still have perfect compassion for intersex people, who never deserved to be dragged into the trans debate in the first place.
"Trans lives matter"
This slogan was taken from the Black Lives Matter movement, so can only mean this judgement means trans people now suddenly fear police brutality against them. There is no evidence whatsoever to support this idea. I haven't seen any trans people shot in the street by police since this judgement came down. Or suffocated to death in a chokehold. Or beaten up. All things considered, it's a pretty tasteless and inappropriate banner to be holding up. Whoever made it should find a more respectful way to make their point - whatever it was supposed to be.