These entities are humanoid models, but as of Identity 1.10.0 for MC 1.16.3, they don't have the same punching and bow animations that Zombies and Skeletons have.
Edit: This also applies to Vindicators, especially when they're holding an item

So, it turns out that Piglins and Piglin Brutes do have proper punching, bow, and crossbow animations. However,

• Pillagers don't have a punching animation
• Vindicators don't have a punching animation
• The bow and crossbow animations for Vindicators indicate that they are one-handed weapons to them (not intended)
• The animations for Pillagers and Vindicators are sped up in 3rd person view.
• Giants should have the same animations as Zombies since they share the same model, but they do not.