No, the position that POTUS statements can't be taken as valid are actually 'nonsense' - it's just the opposite.
The presidents statements are the legitimate statements of the State of the United States of America, it has nothing to do with what you or I think about 'Madagascar'.
He is POTUS, his words are nominally and pragmatically state policy.
If he makes a declaration of 'use of force' against another it should be taken at face value.
This would be true if were only a nominal figurehead, leaving policy to others, but he's not, he has material power and wields it.
Given the construction of the balance of power - 'He is America' at least for the time being.
You seem to have a fundamental misunderstanding about how the Presidency of the US works.
The statements POTUS makes to the public are simply statements by a person and should be taken as such.
The instructions the POTUS gives, privately or publicly, to the various apparatuses of the US government, are what is nominally and pragmatically state policy. When these contradict public statements POTUS has made, it is these instructions that are what actually matter.
You seem to have a fundamental misunderstanding of the nature of power and geopolitics.
First this: "The statements POTUS makes to the public are simply statements by a person and should be taken as such." <-- this is definitely not true, even with a basic deference to the more traditional, formal view of the US president's role, or the role of any Head of State for that matter.
The US Presidents proclamations are policy, and always have been. Obviously - a statement at the 'correpondents dinner' is not the same thing as a quick media response, is not the same thing as a statement from behind the podium, is not the same thing as a prepared address or document - but anything above board is representative of the State.
Particularly given the current POTUS leverage over Congress and wide Judicial deference to his power.
Obviously, POTUS is going to have private discussions and give directions that are not consistent with public statements - that adds to the ambiguous nature of his statements, but his public statements are still facto policy and must be taken at face value.
A statement like 'force is on the table' internally may seem like a negotiating tactic or 'populist politics' or 'stuff tough business guys say' or even 'fodder for fox news', but geopolitically it's borderline a declaration of war. It should be taken seriously.
The presidents statements are the legitimate statements of the State of the United States of America, it has nothing to do with what you or I think about 'Madagascar'.
He is POTUS, his words are nominally and pragmatically state policy.
If he makes a declaration of 'use of force' against another it should be taken at face value.
This would be true if were only a nominal figurehead, leaving policy to others, but he's not, he has material power and wields it.
Given the construction of the balance of power - 'He is America' at least for the time being.