EMS bachelor degree's are a heavily debated topic on this forum. I seem to weigh in on most of the discussions regarding them, because not only am I taking one, but it was the best plan for me and I think we need more EMS providers out there with them. I am not %100 familiar with the EKU program, but it is well known. Most 4 year EMS degree's in the USA are designed for people who want to take on EMS leadership, research, and education opportunities. After all, if we can't teach ourselves, conduct our own research, and lead our own profession, then its not really ours. However,there not right for everyone, and often times an associates will do and save you money. It depends entirely upon your goals.
First off,if your getting your 4 year degree in EMS,you outta know its going to do little for you as a field provider/transport paramedic working for private ambulance. The reality is it might land you a buck an hour or more or nothing at all. However, it will make you more competitive for very sought after EMS jobs in HEMS and higher paying municipal agency's, where it will also allow likely give you promotion points. Furthermore, if your considering going into EMS leadership, or EMS education, a bachelors is becoming the new minimum standard at many a places. Having one specific in EMS would certainly be advantageous than someone with something else, in my opinion.
Also, if you plan on going to graduate school, or to PA school, you can pick the right pre-rec's and general education requirements within your EMS degree and continue on. If you also plan on becoming a paramedic this is the by far the best route, 1+ year paramedic program will not transfer completely into many other bachelor degree majors. Thus, it saves you at least 1 year of extra university if you plan on going on and getting a graduate degree anyway.
Lastly, from an international perspective its becoming the new gold standard. My last company which was Australian has a company policy of keeping its paramedic staff with bachelors at around %75 at all times. This will eventfully be raised to %100 as time goes on.