That's my understanding, anyways. I'm not a health care expert.
If you have a mild case of Coronavirus and are able to self-isolate, then just do it. Testing and confirming you have it doesn't change things, you'd still be asked to self-isolate.
I can see the value in people who are very sick - confirming they have the virus can inform the need for isolation in the hospital.
It might also be useful to have a diagnosis to present to an impatient boss who wants you back at work.
That's what my employer is doing now. If you're sick, work from home for 2 weeks. Don't come in.
You really don't think tens of thousands of medical doctors and experts haven't already thought this one through? They're not limiting tests because they're utter morons, they're limiting them because they are limited and they are trying to do the best with what they have.
We could import foreign tests from Korea, where some facilities are capable of producing 10K per day. The absence of testing is absolutely an unnecessary, dangerous scandal, and everyone credible on this is saying as much.
https://www.nytimes.com/2020/03/02/health/coronavirus-testin...
https://www.cnbc.com/video/2020/03/02/coronavirus-testing-em...
The CDC even deleted the testing counts from the data off their site to try and cover up the absence of testing.
here is an analysis of the percentage of contacts we would have to trace (paramerized on R0), to stop the spread entirely. https://www.thelancet.com/journals/langlo/article/PIIS2214-1...
(We're probably past that point now, though)
Once the dust settles, random testing for anti-bodies will probably be useful to work out exactly what happened to better inform planning on future epidemics.