I think a liberal arts degree is worthless in the RP field also ,except it does show people you have to know how to read and write , but Im pretty sure almost all will agree with that. Who has an liberal arts degree?
I'm happy to see that you edited your post.
While a Liberal Arts degree is (for all practical purposes) worthless to the HP profession. The attainment of one requires certain qualities that are desirable in a field which requires the ability to think.
For this reason, having a Bachelor of Arts or Science degree is one consideration in ranking qualifications. In certain professions, a BS in any field is as good as an AS in the field in question.
But a degree isn't the same thing as a comprehensive examination at the technician level.
A BS in Health Physics might make you more qualified to write ALARA plans or RP procedures. It should further one's qualifications toward porfessional level employment. Technicain level employment requires a certain amount of training - some of it practical and some theoretical. The achievement of this level of training is measured by the NRRPT Exam. Any further theoretical education in the field is not useful at the technician level.
Let me stretch this example. An MD would be the person you want to treat your ulcer. But a Gastroenterologist is totally unqualified to splint, brace, and backboard you if you are injured in an auto accident. EMT training is the appropriate level of training for this job. If you are an EMT-P (what we call a Paramedic in New York) you are far more qualified to stabilize and transport to a trauma center someone who is bleeding heavily with compound fractures and tightness of the abdomen than Dr. Fitzglove, who fixed your sore belly.
However, a trauma surgeon takes over at that point.
Likewise, there is a certain level of training and experience that makes a technician better qualified than a Health Physicist to cover a valve breach. There are distinctions, even in our field, between the technician and the professional. There is such a thing as overqualified - which doesn't mean that you are more qualified than you need to be: it means being qualified for a different job altogether.
So, a degree isn't going to be worth more money for a technician in many cases. However, I would consider it a major plus in hiring a tech if he or she were going to be doing higher-level work or supervising others. And it would be almost a necessity in working at a professional level. I would probably give it at least as much weight as NRRPT when hiring a tech.