Your Royal does not need a uvb light. Here is why.
Your snakes behavior is way more active than it will be a year from now. They are much more likely to have daytime activity when young. Royals eventualy (always at least one exception but the other 99%) become little hermits. They sit inside their hide and sleep all day but after dark they will come out and tour around a bit. So if the snake is inside the hide and does not come out while the uvb is on how can it help ? Other snakes might benefit from uvb ,but not royals. Sorry

Now if you think its good to have the light on during the early behavior then sure it might help and for sure isn't harmful so why not.
But I have heard those bulbs are to intense and can harm your herps eyes. (I did not read all of the last page so if someone wrote that alreadyI am sorry )