Luffy and Zoro were already exposed at that point. Hawkins knew that the strawhats arrived at Wano through fighting Law, and it is because of this Jack dispatched the Flying 6.
Originally it was Sanji who had beaten the Kyoshiro Samurai, not like he was protecting anything, it was his fault for starting it in the first place.
And if we are going to debate whether or not Page One is the weakest or not, then I think that's enough of my point breaching your headcanon.
Usopp ~ weakest crewmember according to Oda (canon)
Usopp fighting Page One
Nami fighting Ulti
But no you are right and Oda is wrong, Page One is the strongest Tobi Roppo. In fact he is the hidden Ace Calamity.