Question about how Uplay + Steam works regarding Display Name

So let's say you buy a Ubisoft game through Steam, and when you launch it it will install/run Uplay and make you create and link a Uplay account to your Steam account. When you actually play the game, I assume it will show the Uplay account display name as my player name in the game, and not my steam account display name right?

For example, Uplay display name: Uplayer777 Steam display name: Steamer777

which one will I see as my name when playing the Ubisoft game?