selectOneRadio grouping broken

I was testing out the new group attribute on the <h:selectOneRadio/> component and found that it does not look to work in all scenarios:

I've provided a test application to shows a working scenario and then multiple scenarios that I think should work but don't.

The app can be deployed on tomcat.

You can drive a request to the index page which will contain the links what doesn't work:
http://localhost:8080/JSF23SelectOneRadioGroup/index.xhtml

Or you can directly verify what does not work by sending requests to:
localhost:8080/JSF23SelectOneRadioGroup/error.xhtml
localhost:8080/JSF23SelectOneRadioGroup/error2.xhtml
localhost:8080/JSF23SelectOneRadioGroup/error3.xhtml
localhost:8080/JSF23SelectOneRadioGroup/error4.xhtml