meaning of "leave me alone"

I understand this to mean to stop bothering me or interfering with me, however, does it also mean to ignore me and pay no attention to me ever again?

For example, I said to my brother, who kept interrupting me and trying to distract me while I was playing the piano, "leave me alone." Is it correct for him to tell me 1 hour later that he will not listen to me when I ask him to walk the dog because he is following my command to "leave me (him) alone"?

I thought leave me alone means stop talking to me or bothering me, but not to ignore me? IF I say "leave me alone" does this mean to ignore me should I seek your presence or help in the future?