If I conquer a battlefield, then kill my own unit there, then move another unit to the now-empty battlefield in the same turn, do I score again?

Ruling: No, you do not score again. A player may only score once per battlefield per turn, regardless of the method (Conquer or Hold).

Nuances:

• Even though the battlefield becomes empty and you gain control of it again, the restriction is based on whether you already scored from that battlefield this turn
• This applies to both Conquer and Hold scoring methods