There is no cure to coronavirus, so if you test positive, doctors cannot start any kind of treatment for you. Likewise, if your symptoms are not serious, you should not be admitted to a hospital, and the question of if you should be admitted to a hospital does not change depending on if you have tested positive for coronavirus or not. Testing positive for coronavirus also does not change the direction to stay at home and use best practices period, but especially if you have symptoms.
The caveat to this is for healthcare staff and other people who are still required to work during this. If we can get accurate negative tests on these individuals, it means they can get back to work sooner rather than having to self isolate for 7-14 days (depending on their jurisdiction).
There is also the issue of the
F1 score of tests.
In medical literature, you will rarely see the full F-score being discussed. They almost always talk about the sensitivity and specificity instead, and occasionally the positive and negative predictive values. Most of the tests we currently have for SARS-CoV-2 are highly specific, but not particularly sensitive. This essentially means if you test positive then you almost certainly have it, but testing negative doesn't necessarily mean you don't have it.