Bad Omen not given when pillager captain dies from fall damage after player hits it

The Bug

I used a knock-back 2 diamond sword in defending myself against a Pillager Patrol. The captain was hit by my sword and got knocked back off a ledge of a bridge...leading to the pillager captain dying by fall damage.

Steps to Reproduce

• Summon a platform of stone in the air.

  /fill ~3 ~10 ~3 ~-3 ~10 ~-3 minecraft:stone
  

• Summon a pillager captain on top of the stone platform. (A command block is required in order to execute this command).

  /summon minecraft:pillager ~ ~ ~ {Health:3f,PatrolLeader:1b,HandItems:[{id:"minecraft:crossbow",Count:1b},{}],ArmorItems:[{},{},{},{id:"minecraft:white_banner",Count:1b,tag:{HideFlags:32,BlockEntityTag:{Patterns:[{Pattern:"mr",Color:9},{Pattern:"bs",Color:8},{Pattern:"cs",Color:7},{Pattern:"bo",Color:8},{Pattern:"ms",Color:15},{Pattern:"hh",Color:8},{Pattern:"mc",Color:8},{Pattern:"bo",Color:15}],id:"minecraft:banner"},display:{Name:'{"color":"gold","translate":"block.minecraft.ominous_banner"}'}}}]}
  

• Punch the pillager captain off the stone platform so that it dies from fall damage.
• Take note as to whether or not the bad omen effect is granted when pillager captains die from fall damage after being attacked by players.

Observed Behavior

The bad omen effect isn't granted when pillager captains die from fall damage after being attacked by players.

Expected Behavior

The bad omen effect would be granted when pillager captains die from fall damage after being attacked by players.