One thing I’ve heard from ETs (and possibly annis) is that since God is infinitely just, he has to punish sins with infinite punishment.
If one believes that, then one cannot also believe in divine command theory (DCT) of justice. Here’s why. DCT says God determines what constitutes justice and injustice. If God determines justice, then he is just as sovereign to determine that unjust acts deserve finite punishments from him as he is to determine that unjust acts deserve infinite punishment.
A just judge punishes people with the punishment they deserve for their works. An infinitely just God would always punish people with the punishment they deserve, but the punishment they deserve wouldn’t necessarily be infinite.
While this is not an argument against hopeless punishment, it is against the compatibility of two things hopeless punishment believers often simultaneously affirm: that God determines morality and that since God is infinitely just he must punish sinners with infinite punishment.