Armor that is enchanted with Protection does not reduce any Damage from attacks.
I have tested Damage Comparing against wearing all Armor Types at Normal Quality, compared to wearing them at Protections Highest Enchantment Value in-game and the Damage inflicted is the Exact Same as armor with no enchantments
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Auldrick
Confirmed in Windows 10 release 1.2.13.60.
I tested with all 4 pieces of unenchanted vs. Protection IV enchanted chain mail armor. Each test was performed with full health and Natural Regeneration turned off. Natural Regeneration was turned on between the tests to restore my health to full.
Each test was designed to inflict a consistent amount of damage, to the extent that it was possible given random factors in the game mechanics. Distances from the damage source was controlled, as was exposure time where applicable.
Enchanted armor reduced damage from: arrows (shot by a skeleton)
Enchanted armor did not reduce damage from: falling, TNT, fire, zombie attack
Although I didn't test many different kinds of armor, nor against every kind of damage, it's clear that Protection IV armor does not protect against many kinds of damage it should protect against.
I have attached my test world for convenience of verifying.
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You dont need a Test world. You can use a wooden sword against a player while they are wearing normal armor vs Protection Armor and the damage output is the exact same no matter what protection tier being used
Auldrick
The test world is for the moderators and developers, and yes, they need it.
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Protection gives NO PROTECTION against Sword Damage. which is the entire point of most Protection Players for PVP
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A zombie inflicts 3 hearts of damage to me on easy difficulty when I wear full protection 4 diamond armor exepts I have an elytra...