Interesting pairing to think about. I've seen a few takes on this, mostly in larger Hellaverse or 'Helluva Boss' fanfiction circles, but it's not a super mainstream ship. The emotional conflict usually isn't about them fighting each other directly. Instead, it seems to stem from their vastly different roles and perspectives within the demonic hierarchy.
Andrealphus is all about social climbing, manipulation, and high-society politics. His emotions are probably buried under layers of calculated charm and ambition. Vassago, from what little canonical detail exists, is often portrayed as a more scholarly or knowledgeable figure, perhaps detached from those games.
The real tension I've seen writers explore is the push-pull between Andrealphus's desire to use knowledge and connections for power, and Vassago potentially representing a purer, more isolated form of knowledge or history. Does Andrealphus see Vassago as a tool, a rival, or something genuinely intriguing that he can't easily manipulate? That's where the quieter, more subtle emotional conflict lies—in the space between utility and a forbidden, inconvenient fascination.
It’s a ship that requires a lot of headcanon to flesh out, which makes the emotional beats more about interpretation than canon events.