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Lets use this as an example: lets say you are attending the Puyallup Fair. You walk into the farm animal display and slip in some cow poop. You think your fine, but after an hour of walking your ankle begins to hurt. You see a person walking around with a fanny pack and a t-shirt with a giant star of life on it. What would your expectation to this persons' level of training be? You would most likely think the provider was an EMT or medic right? I doubt you would even consider the fact that they might just be "first aid" trained.
Lets take it a step further. Lets say I am the one that is injured and your the provider. You say "oh you just need an ice pack" and you give me such. However, what if I slipped because of an underlying issue and the "cow poop" was just a coinicedence? What if the underlying condition, would have been something a Basic or Medic would recognize, and I now have complications because you didn't catch it. You gave me an ice pack and sent me on my way...