Han would have been a child when the Empire came to be so he’d have little memory of the Jedi, if at all (this is aside from the script chances of a young Han Solo supposedly on Kashyyyk during RotS). Plus the propaganda arm of the new Empire likely would have painted Jedi to be tricksters, the enemy etc.

But as for anyone of drinking age and above, if they were keeping up with the Republic news of the Clone Wars there likely would have seen a lot of. Eww of the Jedi Generals…unless Palpy had the foresight to completely gloss over the Jedi involvement