There is actually a reason to think Chanukah presents are actually ???? ???”?.
Assuming that it is a copy of the goyish “minhag” of giving gifts on their ???, which is not an unreasonable assumption, then there would certainly be at least a “??? ????? ??????” and would be assur.
It is unlike the case which the Rema is mattir, the doctors’ uniform, in which the reason that non-Jews do it is completely free of ?????? and ????? ???.