I don't know what test they're using at the White House, at all, but my suspicion is that it almost has to be some variation of the CRISPR test as that is the most sensitive, and theoretically the most accurate.
But I am aware that some reports have felt it is too sensitive, and can lead to false postive tests. I don't think it gives too much in the way of false negatives if done properly and I am assuming the medical staff in the White House has access to good tests.
I had heard later today that the President had some mild symptoms - if he is coughing that can't be good. His risk of death at his age may approach 2-4%. Might be less with the health care he will receive.
I am certain there are some thoughtless folks who will be delighted to hear that, but the potential issues of a sick President are many.
Losing a presidential candidate to disease, less than a month before the election has never happened, that I am aware of. Hopefully it won't come to that.
The good news just keeps on comin' in 2020. -> ( That is an ironic statement of mine, for those who might miss my attempt at humor. )
Edit - Here's a bit more about the test @Chris
I thought it would be a CRISPR test but CNN says it is a rapid test from Abbott labs, but that it is not a CRISPR test - Ten states have elected not to authorize the Abbott test in this quote from the article
"Ten state health agencies told CNN they specifically recommend or require that individuals who test negative on the Abbott rapid device be retested, and most recommended using a different, slower, more reliable method for diagnosing Covid-19, known as lab-based "polymerase chain reaction" or PCR tests."