Sorry, I think aiming for an intentional error is silly.
Sure, some mounts *might* give you some hysteresis in Dec. Most don't (particularly the Bisque variety
)
The *less* corrections you have to do the better. Always correcting in a single direction is a recipe for eggy stars.
Sadly, perfect polar alignment is also a myth. The (refracted) pole goes up and down with atmospheric density (i.e. temp & pressure) so even if you nail it geometrically, it moves from night to night...no user error required.