I don’t see any practical difference other than using more polite, indirect language. The effect of “would like not to” is the same in the end with opposition.

I don’t see any practical difference other than using more polite, indirect language. The effect of “would like not to” is the same in the end with opposition. I don’t think there’s a 1:1 translation of “would like not to”. I’d probably say something like “it’d be good if I did / didn’t do X”. Which is less direct than the equivalent “I do / don’t want to do X”.