It endorses the unfortunate habit of collapsing distinctions on both the left and the right. In truth, although conservatives have occasionally aligned with fascists for pragmatic reasons and because they do share some values, they are not the same. When fascists come to power, conservatives are usually supressed; all conservative political parties were banned in Nazi Germany, for example. Anti-Nazi conservatives were among the victims of the Night of the Long Knives. Friedrich Reck-Malleczewen's Diary of a Man in Despair provides useful insight into how conservatives of the era viewed Nazis. He died in Dachau in 1945.
The point people are miss is that Post-18th Century conservatism is a shade of liberalism in the broadest sense (not progressivism though), whereas fascism is resolutely anti-liberal. That said, right-of-center political parties contain lots of people who aren't remotely conservative: radical pro-market capitalists, libertarians, and the occasional fascist. They might all refer to themselves as conservatives, but that doesn't mean they are.