Virtual son, virtual mother. We don't know all the reasons why, and it would be
impertinent and presumptuous to innovate a doctrine from this passage.
Christ declared their new relationship from the throne of the Cross.
But - according to you - He didn't mean anything important by it. If I understand you correctly; it was just one of those virtual things that Jesus did.
But we know what happened next. 'From that hour the disciple took her into his own household'.
This would have been a very odd thing to do if Mary had other children.