Yes, that is the law. A nanny I employed in CA had put her two weeks in with us, then the last day of work she no-showed last minute. With two working parents you can imagine how well that was received. Anyhow, I told her to not come finish out her last day. So then she applies for unemployment a few weeks later. I got a notice from EDD and responded to it with the facts around her unemployment request, thinking surely they will deny her. There should have been two flags on her request: 1 - she quit, 2 - she no-showed the last day. It was processed and she was granted 26 weeks.
I think they are so overwhelmed at EDD that her request was just pushed along through the process. There are so many stories of fraud at EDD that you have to wonder how much time the claims processors are spending on each application.