Killed with ice balls does not produces "death.attack.thrown" death messages

When a player or tamed mob gets killed with ice balls, the "death.attack.thrown (%1$s was pummeled by %2$s)" death messages are not produced, instead the game produced "death.attack.player/death.attack.mob (%1$s was slain by %2$s)" death messages, which is inconsistent with Java Edition.

Steps to reproduce:

1. Summon a frostbite

2. If the frostbite you're summoned doesn't have ice balls, run this command: /replaceitem entity @e[type=frostbite] slot.weapon.mainhand 0 ice_ball

3. Change your gamemode to survival, and lets the frostbite kill you with ice balls

Expected result:
"death.attack.thrown" death messages is shown, matching Java Edition.

Actual result:
"death.attack.player/death.attack.mob" death messages is shown instead.