When I first saw that POTUS was going to Walter Reed, I mistakenly thought of the hospital in DC, forgetting that this had been closed and the name transferred to Bethesda, and when I realized my error, I was flummoxed by my forgetfullness, but this got me thinking, and I found what might be several possible angles for digs that could connect recent POTUS tweets. To pack this into one post, I'm skipping links and caps, but in three of the last four tweets, POTUS announced he was going to Walter Reed, then made the well/welI "mistake", then mentioned Walter Reed and "likewise incredible institutions".
So what other "incredible institutions" is POTUS talking about? First, the Walter Reed National Military Medical Center is more than a hospital. It contains the HQ that oversees ALL military medical facilities in the DC region, and is itself a component of the base Naval Support Activity Bethesda (see map), which includes other facilities, including the Uniformed Services University of the Health Sciences.
https://military.wikia.org/wiki/Joint_Task_Force_National_Capital_Region/Medical
https://www.cnic.navy.mil/regions/ndw/installations/nsa_bethesda.html
But that is just ONE side of what seems to a normal person like one vast medical complex, since on the other side of the street is the National Institutes of Health (NIH), itself comprised of multiple institutes. If you take the Metro Red Line to the Medical Center stop (center on map), you feel surrounded by one huge medical complex.
POTUS might be suggesting a broader look at how government gets "reorganized" at times. For instance, the Walter Reed name was transferred from DC to Bethesda as part of the "Base Closure and Realignment" process (as anons noted). What are publically presented as efficiency and cost-saving moves, with opposition to be expected from pork-barrel politicos, might well conceal "consolidation" by the DS ("look there, not here").
But could POTUS also be pointing to NIH specifically? I went there once, years ago, as a supposedly sophisticated adult, and yet felt a sort of mystical resonance (of uncertain moral valence). The reason was that years earlier I had read the book Mrs. Frisby and the Rats of NIMH. The cover didn't appeal to me much (someone suggested the book), but the story fascinated me, suggesting powerful forces, good and bad, hidden within plain sight. Later, via a fluke, I happened to see the movie on the same day as I saw Raiders of the Lost Ark (for the second time) in a theater. Two movies in one day! This was before our "mouse utopia" where we can just stream videos of any sort non-stop…
Mrs. Frisby is a mother mouse who seeks help from some rats who have escaped from the lab that made them extremely intelligent. But they still deem themselves too dependent on the human forces that "made" them, and have constructed "The Plan" in order to disentangle themselves. But they decide to help Mrs Frisby too. I don't even know where to go with this right now, since I found yet another angle.
https://en.wikipedia.org/wiki/Mrs._Frisby_and_the_Rats_of_NIMH
The novel was specifically based on the research of John B. Calhoun.
https://en.wikipedia.org/wiki/John_B._Calhoun
I didn't recognize the name immediately, but I quickly realized that I was familiar with his work (as are some of you), since it was his research on rodents that led him to coin the term "behavioral sink" to describe the behavior of mice who lived in crowded conditions, and yet were supplied with all basic needs. Thence came total social breakdown, and eventually the mice turned all attention to themselves (and for mice this amounted to endless grooming), but they no longer could even muster an interest in sex. Too much effort, I guess. Then they all died.
It occurs to me that "sink" and "well" have abstract senses that overlap, and if you want to be concrete, some people get water from a well, and some from a sink.
In any case, it looks like one lesson that some drew from Calhoun's work was that overpopulation was a danger to be avoided at all costs, and so maybe many needed to be eliminated (via considerable contrivance). I don't know the facts on that, but I'd say it might be a hasty inference.