It isn't typical for a royal to bask. The bulbs may not be doing much other than bumping up the ambient temps. You should really have the cool end at 80 surface temp and warm end at 90 surface temps or so. The ambient AIR temps ideally will be between 79-85ºF and not cooler than 76ºF. Getting everything correct is a big balancing act. It is hard to give specific advise as I don't have any idea of what your space is like with temps and location ect. There are lots of ideas of hows and whats but each set up is unique and individual.