This is a very good question.
Person/ being/ self
A person (puggala) to me looks like the story of someone, as defined in SN 22.22.
A being (satta) is defined as the assemblage of the five aggregates (SN 5.10) and also when there is a clinging to the five aggregates (SN 32.2).
A self (atta) is just an ephemeral mental idea (Snp 4.14) that arises when the ...
the buddha didnt teach rebirth of self he taught rebirth of the person, which is the final moment of mind in this life functioning as a cause for the first moment of mind in the next.
at no point is self asserted or implied and so the linked response is mistaken to include rebirth of self within right view.