Would there be any difference? For instance,
I don't want to talk about non-important issues. (unimportant)
He is a very non-active/non-sexual person. (inactive) (asexual)
This is a non-logical assumption. (illogical)
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The prefix non- is used with words that either don't have a form with "another" negative prefix or an antonym, like
or with words for which the standard form (or the antonym) has a slightly different meaning from what can be achieved by using 'non-'
A non-negative value - (="positive or zero" instead of "positive")
The rest should be used with the "regular" negative prefix.