I like this - it solves some edition issues, and also opens up new conceptual spaces to explore.
Based on the article, I'm starting to imagine things like different tribes or clans of Succubi/Incubi (there needs to be a gender-neutral term for these creatures if they're their own species, but for the time being I'll revert to just using "succubi"), with particular clans serving specific devil, demon or yugoloth masters.
There could be rivalry or open conflict between those clans, but there could also be a larger Succubus society out there, following their own goals independently of their fiendish overlords - or maybe the Succubi have their own agenda, and even those working within the system are manipulating their employers towards particular goals.
This change also allows a little more scope for deception when it comes to Succubis'* involvement with mortals. Even if you reveal that someone is a Succubus or Incubus, you still won't know for sure which fiendish faction they're working for.
* I'm not too certain of my punctuation there. What is the plural possessive of Succubus?