If Kai'Sa, Survivor moves to a battlefield while my opponent has Tianna Crownguard at another battlefield, do I draw a card?

Ruling: Yes, you would draw a card with Kai'Sa, Survivor. Tianna Crownguard prevents opponents from gaining points, but does not prevent the act of conquering or holding battlefields, so conquer and hold triggers still occur.

Sequence:

• You move Kai'Sa, Survivor to a battlefield and take control of it
• The "Conquer" event occurs (you are scoring the battlefield)
• Kai'Sa's "When I conquer, draw 1" ability triggers and you draw a card
• Tianna prevents the point from being added to your score total

Nuances:

• Tianna's errata changed her text from "opponents can't score points" to "opponents can't gain points" - this distinction is critical
• You still perform the game action of "Scoring" (which includes Conquering and Holding), but Tianna only prevents the final result of adding the point to your total
• This is different from Forgotten Monument which prevents players from scoring entirely ("can't score here"), which would prevent conquer and hold triggers
• If you conquer while at 7 points and cannot gain the 8th point due to Tianna, you still draw a card for conquering