The difference between Brains trust and Kitchen cabinet

Brains trust as a noun (chiefly, British):

A group of experts who discuss events in public, especially on television or radio.

Brains trust as a noun (by extension):

Any group of advisors, whether experts or just friends or acquaintances, who are willing to offer their knowledge or ideas on a topic or issue.

Kitchen cabinet as a noun:

Built-in cabinet found in a kitchen.

Kitchen cabinet as a noun (informal):

An informal group of advisors to a country's chief executive, as distinguished from the official cabinet.