Minecraft 1.16.1
Fabric 0.8.8+build.202
LWJGL 3.2.2
Fabric API 0.14.0+build.371-1.16
Identity 1.1.0-beta-1.16

Example 1: Player (disguised as Skeleton) using a Bow
Expected result: Standard Skeleton loading animation displays.
Actual result: No animation is displayed.

Example 2: Player (disguised as Pillager or Piglin) using a Crossbow
Expected result: Standard Pillager/Piglin crossbow animation displays.
Actual result: No animation is displayed.

Example 3: Player (disguised as Vindicator) using any Axe
Expected result: Vindicator is shown holding an Axe.
Actual result: Vindicator is not shown holding anything.

Example 4: Player (disguised as Drowned) using a Trident
Expected result: Drowned is shown throwing a Trident
Actual result: Drowned is not shown throwing a Trident

Vindicator still needs a fix, Drowned has been fixed.