Fascists often hate being called right wing. It comes from a lack of self-awareness and general lack of emotional intelligence. If you can't understand other people and their views, you are inclined to see your own position as the reasonable center. There are also, of course, some fascists who cynically portray themselves as the center, knowing full well what they really are. The leaders of AfD and the Reform UK are examples.
Analogously, people on the right often use the word "political" as a derogation. They hate the idea of their beliefs being political, preferring to call them "common sense".
In a nutshell, there is a commonality across many people on the right of being unable to empathize and understand perspectives outside their own. This is why they always view their own use of government benefits as justified while others are thieves or criminals, and why anyone different from them is a threat.