Re: the NYT's editorial department:
The NYT is very different: They cover the spectrum, from Ross Douthat who is pretty far right, (edit: to David French, rational religious right) to Brett Stephens (former WSJ opinion page editor) to David Brooks (more center-right), and more. The notable exception is no pro-Trump writers, but they are not bound to publish lies and nonsense.
Progressives think the NYT is a corporate tool. I wonder what the far right thinks of the WSJ.
There are legitimate discussions to be had about whether the replacement of female-only spaces with therapeutic venues for gender-dysphoric males is a reasonable policy goal, particularly when the negative impacts upon women and girls is considered. It's not a "conservative moral panic" to have these discussions.