In terms of number and real influence, the Azov Battalion in Ukrainian politics and society is small. The larger issue is, their existence can be exploited by outside governments and politics as "Ukrainian Nazism". American political labels do not apply outside our borders. When ever I see someone applying American political labels to a group outside the U.S., I have learned to take what is said skeptically. It usually is done to assign "good guys" and "bad guys" for political reasons that have nothing to do with actual right and wrong. The bitter irony her is, by Putin's standards, Russia needs de-Nazification more than Ukraine does.
(picture links to Pew Research)
“American political labels do not apply outside our borders.”
This is very true. American political arguments do not translate. Outside the US nobody has much of a clue about why Americans hate each other so intensely. And, I think, Americans in general do not switch context very well either. Human parochialism makes for weird ideas.