Don’t mull over the CVW thing. Not all who go to a CVW get appointed; not all who are appointed went to a CVW. Admissions uses it as an informational tool. And a plebe is likely not to have any idea how Admissions arrives at its decisions, except an assumed correlation along the lines of “it worked for me.” Don’t spend any more time on it. You got to go, and presumably it did its intended job of helping you make an informed decision.
Your waiver is no doubt is in queue awaiting review. Imagine the hundreds of cases awaiting what you want to be a thoughtful, unhurried, thorough review by the waiver authority at USNA, who likely does this in addition to other assigned medical officer duties.
Waiver authorities at USAFA and USNA can arrive at different waiver conclusions, as service waiver policies differ, to reflect the fact missions, gear, equipment, operating environments, etc., differ.
And, while a civilian doc can clear you for resumption of normal civilian activity, only a military provider can find you meet standards and are cleared for full military duty.
Just keep working on the patient waiting and do any approved strengthening exercises whil getting yourself in peak+ condition for wherever you will be inducted in 4 months.
Ditto advice on DoDMERB forum post.