If you score both battlefields on your turn, then on your opponent's turn you move your only creature from one battlefield to the other (previously empty) battlefield using Ride the Wind, do you score a point on the opponent's turn for the battlefield you moved to?

Ruling: Yes, you score a point on your opponent's turn for the battlefield you moved to, because you did not score that battlefield during their turn yet.

Nuances:

• You can score each battlefield once per turn (each player's turn)
• Moving a creature to a battlefield you already scored on your own turn allows you to score it again on your opponent's turn