If you hold a battlefield at the start of turn for 1 point, then move that unit away and move a different unit to the same battlefield, does the second unit trigger its conquer ability?

Ruling: No, the conquer ability does not trigger. You can only score once on a single battlefield in a single turn.

Nuances:

• Even though a different unit moved to the battlefield, the scoring restriction applies to the battlefield itself, not the individual unit
• Holding at start of turn counts as the one score for that battlefield that turn