The Rood Screen served to separate the clergy from the masses or really the non-elites aka them/not us / the unwashed etc. ect. Seems if you had the power and or money you could get beyond the screen. In fact Philip the Bold has his own prayer box beyond the screen.
Spent some time to trawlling JSTOR for artiles on the V&A piece - couldn't find any. Broaden the search ro Rood Screens in general found some even some pictures of one or two screens at a very informative site
Medieval Creation and Re-Creation
which produced a bibliography :
Lasko, P and Morgan, N.J., Medieval Art in East Anglia, Norwich 1974
Anderson, M.D., Drama and Imagery in English Medieval Churches, Cambridge 1963
Pevsner, N. and Wilson, B., The Buildings of England: Norfolk 1, London 1997
for further study.