Copied and pasted from your earlier post:
?? ???? ????? ????? ????? ???? ??? ???? ????? ????? ??? ???? ???? ?????? ???? ?? ??? ????? ?????? ????????
I don’t know why you don’t think it’s clear – the reason a custom without a known reason is assur is out of concern that perhaps ?? ?? ??? ????? ?????? ????????, so if it certainly does, it is assur. He is not leaning that way, he says it pretty much outright.
As far as looking into the origins, the horse is already out of the barn – we know the origins of gift giving on the ???.
The only question, I think, is whether Chanukah gift giving is considered a copy of that “minhag”, but if it is, there is no basis in the ??”? to be mattir.