This LA study has one of the same authors as the Stanford study (Neeraj Sood). It uses the same test and so it has the same issues with the false positive rate. An honest person would address those but I didn't see that in the press release.

This post describes the issues: https://medium.com/@balajis/peer-review-of-covid-19-antibody...

See also this thread: https://news.ycombinator.com/item?id=22924118