While I do agree with you, in theory, here are some argumentative points. If the Framers’ intent to limit the authority to exercise the military by the president/CinC, then they would’ve written the Constitution to do so. The main reason for Congress to declare war is due to the “power of the purse.” It took Congress until 1973 to create the War Powers Resolution, which one could argue is still vague outside of the president briefing Congress before troop deployment and submitting a report within 48 hours of a deployment. Congress does decide the will of the people, which one could argue since they haven’t done anything to amend the War Powers Resolution since it was signed into law or impeached and removed a president since the resolution was created, then the current construct seems to be supported by the majority of the people.