Are they under the jurisdiction of their respective states or of the state they are operating in? Also DC is not a state & the next higher body is the US Government. Could it be that, since they are all in DC that they are reporting to the Feds, regardless?

The new ones are under SS: In addition there will be at least 5000 under SS: https://www.theepochtimes.com/up-to-25000-national-guard-in-dc-for-inauguration-us-army_3658742.html

Are they under the jurisdiction of their respective states or of the state they are operating in? Also DC is not a state & the next higher body is the US Government. Could it be that, since they are all in DC that they are reporting to the Feds, regardless?