Hi Evan, I don't know if I can contact the RHS, if you haven't had a reply I doubt I will get one but I also think it's an oversight or they just don't update regularly.
I think I should make an entry for Tulipa linifolia (Batalinii Group), then move the photo to that entry as it probably belongs there but with no cultivar name. I can then delete T. batalinii, and add T. linifolia with batalinii as a synonym. What do you think?