Creepers don't drop discs when killed by a skeleton horse

The bug

When a skeleton horse kills a creeper via the /damage command, no music disc is dropped. A music disc is supposed to drop when a creeper is killed by a skeleton of any kind.

How to reproduce

1. Spawn a creeper and skeleton

2. /damage @n[type=creeper] 100 lava entity @n[type=skeleton]
   ✔ A random music disc is dropped

3. Spawn a creeper and a skeleton horse

4. /damage @n[type=creeper] 100 lava entity @n[type=skeleton_horse]
   ❌ No music disc is dropped

Expected result

The creeper should drop a disc from either command

Observed result

The creeper only drops a disc from the normal skeleton command

Notes

Compare with Java Edition, which matches the expected behavior. The command is slightly different:

/damage @n[type=creeper] 100 lava by @n[type=skeleton_horse]

This also affects wither skeletons. This previously affected bogs (MCPE-179008) and parched (MCPE-230201).