If I'm running a company that has to do business with ordinary people, I want to avoid hiring someone who vocally and publicly espouses radical political views that many people would react to negatively. Even if they are "pseudonymous", since it could still become known later on that they are associated with the company.
Different people define "fascism" so differently that being "antifascist" could mean anything from protesting against the KKK, to actively working to bring down the capitalist world order (which happens to be the framework in which most companies have to operate.)
If I have radical political views, that's the part of my life that I'm keeping pseudonymous.