They confirmed the obvious; I have second-degree burns.
They updated my td shot, and showed me how to apply the ointment I'm to use (which they gave a prescription for), and also how to wrap the bandages.
I could probably have done most of this on my own.
But it helps for them to give me all of the right supplies, with a demonstration of proper use of them.
So, not a wasted trip, since I'm pretty sure we only had like half the stuff needed at most. And there's a difference between knowing the theory and having the reality.
All-around, glad I went; I didn't feel like I wasted time in doing so.