Horse armor and carpets cannot be equipped onto horses or llamas by right-clicking them whilst having these items held in your hand

Parity issue from MC-197150
Horse armor and carpets cannot be equipped onto horses or llamas by right-clicking them whilst having these items held in your hand.

How to Reproduce:

• Obtain some horse armor and any kind of carpet.
• Spawn both a horse and llama, and tame them.
• Attempt to equip the horse with some horse armor by right-clicking it whilst having the horse armor held in your hand.
• Attempt to equip the llama with a carpet by right-clicking it whilst having the carpet held in your hand.
• As you attempt to perform both of these actions, watch closely.
• Take note as to whether or not horse armor and carpets can be equipped onto horses or llamas by right-clicking them whilst having these items held in your hand.

Observed Result:

Horse armor and carpets cannot be equipped onto horses or llamas by right-clicking them whilst having these items held in your hand.

Expected Result:
Horse armor and carpets would be able to be equipped onto horses or llamas by right-clicking them whilst having these items held in your hand.