No
I’m saying that I believe there’s Nazis that didn’t become Nazis because they just wanted the Jews gone but because they felt like they had nowhere to go. At least if you listen to some ex-nazis that found their way out from the funnel of hatred and loneliness.
This obviously doesn’t forgive any crimes committed or the hatred spewed, but Nazis are still humans and thus not a homogen mass driven to hate by the same reasons

edit: this is of course true for all hate driven groups. If you can’t find companions who loves, there’s always company in hate