I was talking about Anno as a concept since the 1st game (which Ubisoft didn't add much to), which is far from an Ubisoft original even by the points you mentioned.
Just like EA shouldn't be able to claim that Apex Legends is their game. It's not, they just publish and fund it.
But whatever, your boss probably got some big money for letting them say that! xD
Well, no one made the claim that Anno 1602 was a Ubisoft game. Anno 1800, on the other hand, is 100% a Ubisoft title, and thus qualifies for the "A Ubisoft Original" branding.
You are confusing first- and third-party publishing here. EA is for example the publisher of "It takes Two", which is developed by an external developer, Hazelight. So they are indeed "only" financing and publishing it.
Apex Legends however is of course 100% an EA game. Whose else would it be? Respawn is a fully owned part of EA, and all the people working on it are EA employees, just as it is the case with Anno 1800 and Ubisoft. It is literally the same company doing all the development that is also handling the business and publishing side.