NASA does not “need” to do anything, the mob wants them to do this.
And as far as the studies[1,2] go... unless you're claiming these studies were falsified or manufactured to further some kind of agenda, these seem to be evidence cited by the authors to back up their thesis and provide a rationale for their argument. And they mention that this controversy goes as far back as 2015.
Again, i see no evidence of a "mob" at work here. I see professionals attempting to convince an audience of their point of view through rational, civil, evidence based argument.
[0]https://static1.squarespace.com/static/5e4d8bb5d77f6c7ec5f96...
[2]https://www.aps.org/programs/lgbt/upload/LGBTClimateinPhysic...
[3]https://advances.sciencemag.org/content/7/3/eabe0933.full