First the term multiple personalities is extremely outdated, it’s now dissociative identity Disorder. And as with all people and systems. Some have multiple for each or Groups of Alters and some (like me) have one for. Everyone. It’s all about that specific system and how they wish to do it.
If they have multiple personality disorder, does each personality even know each others lemmy account?
Either way, they are under no obligation to have different accounts.
Not everyone with this experiences total amnesia of what the system does.
For example, I have OSDD (Otherwise Specified Disassociative Disorder) type 1b, which means I experience many personalities/states with little to no separation of memories.
Anecdotally, we all use the same accounts, as we have enough to deal with besides trying to remember different passwords for everyone.