If a unit is moved to a battlefield on an opponent's turn (via Charm or Ride the Wind) and defeats the units there, does the unit's controller gain a Conquer point immediately, and then a Holding point at the start of their next turn?

Ruling: Yes, you gain a Conquer point immediately when your unit defeats opponents and takes control of a battlefield on your opponent's turn, and then you gain a Holding point at the start of your next turn.

Nuances:

• For Ride the Wind specifically, a showdown must be happening for the card to be played, so you must wait for your opponent to start one before you can use it to move your unit.