No, the RHP must go on the under-side of the lid - if you look at the RHP FAQ on the Reptile Basics website, under the fire safety section, it's pretty clear you can't just set it on top of the screen:
"Do not set the panel lens side down on any surface while it is plugged in"
http://www.reptilebasics.com/radiant-faq
(I linked to the Reptie Basics information because that's the brand I'm familiar with)
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