I'm curious why Aston don't seem to care about their reputation.
Am I right in thinking there are two main reputational issues?
The first is endorsing a PhD student's decision to pursue research based on a lunatic, anti-scientific ideology akin to astrology or a belief in crystals. I guess the answer to that is that they don't realise or care how bad this looks because they inhabit a bubble where everyone adheres (or appears to adhere) to this ideology. See also universities' treatment of Kathleen Stock, Jo Phoenix etc. You'd be mad to lose good high-ranking academics like that who are defending a rational, pro-science view, but there you go - that was the decision they made.
The other is the ethically questionable decision to use, without permission, data from a widely-used website. I'm guessing that for Aston, this is something they are very very keen to do and keep on doing, in much the same way that Google is creating electronic versions of books that are technically still in copyright. The benefits to universities of being able to access and analyse this kind of data must be huge, and as a PP said, they won't be the only university doing it.
Perhaps there is a third reputational issue, ie labelling as bigots and transphobes a group of people with perfectly ordinary mainstream political beliefs. But I think that probably falls under point one.