Sorry I had a tab of something pertaining to another mafia in my original screenshots. Anyways as I said: I originally thought our names weren't in the recipient list due to invisibility so I tested PMing with and without it, but that's not the case. It seems to be only those PMs from DB, as another PM, from and ended mafia has my name in the recipient list.
PM from DB with same BG as Momo
PM from BG with different BG
Invisibility Test with Master Ball BG
Invisibility Test with same background as Momo
PM from DB in another Mafia