This would be true if visa and status were the same thing. In the US, they are not. Whether you are legally present in the US is governed by status. So what happens is that your status is valid and even renewed or extended in the US. But your visa expires. And you need to renew the visa just to bring the date on the visa to the same date as your status. You literally go to the consulate and show them your other status document, and they stamp your passport with the date from the other status document. It's all quite silly. A bit like the movie Brazil.