I went down that rabbit hole on these, and came up pretty empty as well!
So let me expand a bit...
The hobby calls them "munnid isopods" because of
this article by Shimek, and the adoption of that info in hitchhiker guides like lionfish lair.
Presume he's right and dig up family
munnidae(wiki) and there are 6 genera included. See what you think. None of them look great to me but I have no expertise.
If you want to see if he may be wrong, then you can go waaaay the heck back from munnidae, up two levels and start at suborder
Asellota, as in "Asellota isopods, Ase-whole-llota isopods" (don't ruin the joke and tell me I'm saying the name wrong in my head)
You will almost certainly be right, as there are 1/4 of all isopods in asellota.
You could wildly guess that they look super similar to the freshwater common isopod
Asellus aquaticus(pic), but that whole genus and everything related to it seems only in freshwater, so we'd be wrong.
so here's my best terrible efforts:
Asellota->Janiroidea->munnidae->?6 genera?
or
Asellota->Janiroidea->Janiridae->
ianiropsis genus(images)
or
it also looks like idotea genus which is in a whole 'nother branch of the isopod family.