Cooldown of minecraft:interact component does not work in component group

How to reproduce:

Make a custom entity, and give it a component group that has the component minecraft:interact inside of it and set the cooldown value to anything. In this case, the cooldown will do nothing.

In contrast, if that same minecraft:interact component is present in the main components instead of a component group then the cooldown will work fine.

 

Using format version 1.16.0