It's thinking outside the box but not necessarily a wise idea. The angled runners put lateral pressure on the legs and the upper joint. It should definitely have cross pieces at the bottom of the legs to help resist splaying forces. The standard support configuration has zero lateral force. There are often good reasons why things are the way they have always been. Our forefathers were much smarter than we often give them credit for.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.