Page scoped components are not active on postback during the restore view phase. We have been doing things like this in JSF 1.2 for years with no trouble.
In JSF 2 the page will render, because the facelet isn't actually complied until the render phase on a GET. Then on postback the component is not found in the stateful page scope and then isn't created because the page scope is not active yet.
I have made many attempts to debug this but I have run out of ideas. I'm thinking this is a bug so I am posting it here. But if someone can give me some fresh ideas on where to look, I will keep digging.