Can the same battlefield be scored twice in one turn by different players (once by holding, once by conquering)?

Ruling: Yes, the same battlefield can be scored twice in one turn by different players. The restriction that "a player may only score once per battlefield per turn" applies to each individual player, not to both players collectively.

Sequence:

• Player A scores Battlefield A by holding it
• Player B conquers Battlefield A (e.g., via Ride the Wind)
• Player B scores Battlefield A via the conquest

Nuances:

• Each individual player is limited to scoring any given battlefield only once per turn by either method (holding or conquering)
• The restriction does not prevent both players from scoring the same battlefield in the same turn