The fact of the matter is running on anti-trans issues is a proven loser for Republicans, but since the sliver of wealthy older Dems who steer the party don't really understand, and are even at times weirded out by trans people, they project their discomfort onto the Republicans, and say that being too pro-trans or woke is a stance that will alienate general voters. This is their socially acceptable way of telegraphing that they themselves are swayed by the Republican anti-trans panic, and personally wish to halt Democrats' pushes for trans rights.