Do Judy and Peter remember anything from the events in Jumanji?

According to this answer, the game Jumanji teaches its players important life lessons.

Jumanji appears to be an artifact designed to teach the players important values, as games often do, but with a far more sensory-immersion effect. Considering when the game ends, the lessons learned are lasting moral ones, learned under realistic conditions with examples of the consequences of actions fully displayed.

Not just Sarah and Alan play the game, but Judy and Peter as well. However, after finishing the game, we see the timeline reset to the moment where Sarah and Alan started playing. The movie then ends 26 years into the future of a new timeline, where the Parrish shoe factory has remained successful (or grown even more so), and where Alan and Sarah are married and about to meet a new employee, his wife, and their two kids: Judy and Peter. Sarah and Alan of course recognise them, but do Judy and Peter recognise Sarah and Alan in turn?

And are Sarah and Alan the only ones who learned anything from playing Jumanji, or have Judy and Peter learned important lessons as well (like not cheating) in turn for their troubles?

Do Judy and Peter remember anything from the events in Jumanji, from a game they haven't played in the new timeline?