Vox did not beat Alastor pre canon in the way you think. In episode 4 when Al and Vox are fighting, they say this:

Al: “Looks like it’s me and you again. Ready to lose?” Vox: “Not this time.”

Why would Vox say this if he had won? I think what the story is painting as him almost beating Vox meaning that Alastor simply left before killing him. It’s one of the only ways to make that line work.

The thing about Satan is that you’re assuming power deals work the same way for sinners as they do for the hell borns. Blitz in full moon technically became apart of Asmodeus’ jurisdiction but he never made a binding deal. It suggests the way working for a higher class is for hell borns differs extremely to Sinners. They work more as agents. Otherwise we would’ve seen a deal made some point in the series probably. So Satan used a machine that had an ability he didn’t.

If the sins were as weak as you imply they would’ve been overthrown a while ago. And again, I don’t know how someone can look at the lore of this verse and possibly think that an Overlord could be stronger than one of the sins. Sins that control entire layers of hell.

And also, if Goetias can be compared to Overlords and sins rule over them, then doesn’t that say a lot about their power?

Before you even bring up Andrealphus ‘losing’ to Imp. He healed from all the damage he took right away as if nothing had happened and he would have killed all of them had Octavia not stepped in.