I have experienced that the issue happens whether _canShowModelAnswer is true or not.
I also noticed that I could select the "dead" item using focus + ENTER-key.
It looks like the onChange handler of the input element is not called (McqView.onItemSelect does not get called when clicking on the item, but it does when using the ENTER-key, where McqView.onKeyPress is called, which in turn calls McqView.onItemSelect).
Unfortunately, I am not familiar enough with the finer details of React event handling to pinpoint the problem.