The saddle on pigs and striders stays visible through their death animation

The saddle on pigs and striders stays visible during their death animation.

Steps to Reproduce:

1. Summon a pig and/or strider
2. Put a saddle on it
3. Kill the entity

Expected:

Because the saddle item is present inside the game space, the saddle on the entity would be removed before the death animation plays, avoiding visual 'duplication'.

Observed:

The saddle item that was equipped on the entity will be visible in air/on the ground, while the saddle on the entity is also still present.

Notes:

Fixing this issue would necessitate distinct changes in the code because pigs and striders do not store their saddle as a conventional item in an item slot, but rather as the "Saddle" NBT tag, which is either set to 1 or 0.