I don't know anything about the Suarez coiurse, but I've taken the IAM from Tactical Response. It was an excellent course, and nusrses and medics attanded my course also, and went away learning something. It is not a 1st aid course per se, but rather teaches you how to address the three most common causes of basttle field deaths. Arterial bleeding, tension pneumothorax, and obstructed airway. It's a lot of hands on and scenario training which helps youu learn the skills and techniques and how to perform them under pressure.
I'm assuming the Suarez course is very similar. Either way if you carry on a daily basis, you should take one of these courses. It's more likely you'll find yourself in a position to save a life with these techniques than take a life with your gun.
After taking this course I set up three seperate trauma kits. One I keep in primary vehicle, one in my range bag, and one I keep with me when working on the farm cutting trees. As i said I'm more likely to need these skills to save my own life or someones elses's rather than having to use my gun.