I think the whole bench one for the other is not the plan. Brees is still the starter and Taysom was able to grind out some wins with decent play against bad run defense, and Winston may be needed against the Eagles and Chiefs later on with their better run defense.
Even if the fans don’t get it, I think the team is understanding the philosophy that Drew Brees is an uncommon passer and decision maker and thus the starter, but Taysom is a project they are working on.