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Yes. He and Vivek are the people heading that department, but it's not an official position so it can get canned at any point.

I'm afraid you lost me (or I don't understand how the US Administration works). I know they don't have an office, or something like that, from what I heard. Does that mean they actually only have an advisory role, rather than having any power of decision?

From what I understand, their position is more of an advisory role because it didn't get approved and passed by Congress. I don't think they have any actual powers to cut spending but they can pass their findings over to Trump and he can do it the official way.

I see. If they don't go through Senate, they are definitely under Trump (or someone else, but I doubt it) as advisors.