The use_cooldown component does work for some item interactions on entities, however; some other items do not work like shearing a sheep, naming an entity, putting an item in an item frame, or leading an entity.

Steps to Reproduce:

1. Spawn two pigs
2. Get the following item stacks:

   /give @p minecraft:name_tag[minecraft:use_cooldown={seconds:3},minecraft:custom_name="pig"] 64
   /give @p carrot[minecraft:use_cooldown={seconds:3}] 64
   

3. Use both items on the pigs

Expected Result:

Both items would go on cooldown once used, because they are both item usages on an entity.

Observed Behavior:

Only the carrot will go on cooldown, and the lead will not.

Screenshots/Videos:

2024-08-21_13-05-16.mp4

Notes:

The carrot working is likely because the item also has an eating usage as well.
Related to MC-275796