Are you really that simple? In a health crisis, the President should not tout any specific drug until it is tested. He should say we are testing drugs that could be promising. No one in their right mind would specifically name a possible cure except for a dumba$$ trying to look like he's in control of a situation.
Through the magic of transcript, we can read what was said during the Mar 19 presser, rather than settling for a sensationalized snippet: Remarks by President Trump, Vice President Pence, and Members of the Coronavirus Task Force in Press Briefing | The White House
Chloroquine, remdesivir, and other treatments have been in the news for weeks prior to Trump, Hahn, and Fauci speaking about them in the presser. In fact, in the day prior brief on Mar 18, a reporter asked Birx about chloroquine.
John: (01:09:10)
Questions for Dr. Birx, if I could? Dr. Birx, French researchers have had some luck with hydroxychloroquine in shortening the duration of disease. Is that something that might be in the arsenal therapeutics here in the United States?
Deborah Birx: (01:09:25)
I think we are exploring every one of those issues. The president asked for a critical briefing on that today. He opened with that. It is more than that single drug. There are other drugs that individuals are looking at. Just to go back to what we talked about many times, there is things that look really good in cell culture against the virus that may look good in small animals, and then don’t have an impact in humans. And so those are the pieces that we’re looking at very carefully. Of course, there’s always anecdotal reports, and we’re trying to figure out how many anecdotals reports equal real scientific breakthroughs.
Donald Trump and Coronavirus Task Force News Briefing March 18: Invokes Defense Production Act, Calls COVID-19 "Chinese Virus" - Rev
In your vast pandemic management experience, why would you not address something that is increasingly circulating in the public?

