Mostly yes: In a sense, doing anything “permanently and forever” is a big deal. People can change and grow, and a full permanent ban without any opportunity for appeal seems harsh. Very few things should warrant a permaban: one example that comes to mind is willfully attempting to circumvent a temporary ban. Posting spam, too.
Also no: Lemmy isn’t and shouldn’t be a critical part of anyone’s life. If you were forever banned from it, maybe it’s okay.
The noses on the Nazi and the woman look like the other two to me.