Yeah it's a move I think Oda would do
focus on how Luffy and Zolo helped in the fight and even saved the rest, then have Kidd betray them to make him look like a dick Wich is a major part of his personality
and it's not like he's gonna kill them, just send them away to have Kaido just for himself , there's no point in defeating Kaido if he's not gonna take the credit
SNs have been at each other throats throughout the arc, so this fit with what Oda trying to do , this is the only way he can focus on Kid and Killer powers too