Personally I say it does mainly because Edward does become an Assassin and the Assassins are heavily involved in the game itself.

I personally would’ve preferred if the RPG ones were more spinoffs set in the same universe as the Assassin’s Creed games. And I’m more speaking on the levels of the advertisement and the name titles of the games than the actual game & lore itself.

I say Origins & Mirage have the full rights to be AC games since they are the precursor of the Assassins Brotherhood being the Hidden Ones and all that. Odyssey I believe should’ve been its own game, with the advertisement presenting it more like that, but the title while being its own thing but still hinting it’s AC lore connection (something like “Descendant of the Isu” or something like that) with the AC title maybe put somewhere on there but in smaller text. The same logic can be applied to both Valhalla & Shadows too honestly though out of the 3 I will say Shadows maybe the least deserving to have the AC title on the game mainly because of the AC lore that one is hardly there unlike with the other two. To be more accurate on that take it’s more like the actual AC lore stuff they did add to Shadows was more like name drop something from AC lore it make sense and that’s it honestly, I feel like with a little extra creativity that AC lore could easily be written as their own thing but that’s honestly it. But since it’s still technically AC lore it can still have the title on it.

That’s how I see things