Well yes. Fascism is a populist reactionary subset of Authoritarianism.

But capitalism isn't a political ideology. Which is why it doesn't care if it's being operated by a fascist government, a liberal government, or even a single party state masquerading as communist.

I agree that fascism is a reaction to bad times. But it's not just neo liberalism. It showed up first as a reaction to economic bad times in a liberal monarchy. Italy and Germany were hardly neo liberal, the idea wasn't even invented yet. And at the end of the day the very people who would run a Neo liberal economy end up being allies to a fascist state as long as they bend the knee.

It really is a reaction where the people who are hurting because of the bad economy are scammed by the very people profiting from their suffering. Neo Liberalism is just the latest in a long line of ideologies to cause the required economic environment.