It sounds like the distinction you're making is between whether you do or don't intend to not do what you think you should be doing. Is that correct?

The intention distinction has to do with why I'm doing what I'm doing instead of what I "should".

If I'm procrastinating on X, then I'll do anything but X (to avoid it), even if it's otherwise of low value or not very pleasant. The intent is "not do X".

However, If I'm experiencing akrasia, then I might do Y or Z, because I want to do them more. The intention is, "I want to do Y or Z, but it can wait".