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The answer is 'Yes' & 'No'.
If Drew is really having some lingering issues with his shoulder where some limited snaps would help him recover, then 'Yes', Winston should see some playing time.
But if Drew is doing well health-wise and he is as effective as he was in the Bucs game, then 'No', Drew needs to continue working on the rapport he is having with all his new offensive weapons. Because we never know how long everyone will remain healthy, the experience working with Brees now could be very important down the stretch if any of these guys are called on to take a bigger role in the offense.
Unless there's a good reason to change things, don't fix what ain't broken.
A good reason to change things would be to not expose our HOF starting QB to injury.