In a word: yes! I'm assuming the underlying black is a high temp like Rustoleum BBQ black. you will have some "loss" on he firebox that will need touch-up (I just oil mine w/peanut oil) from time to time but at normal BBQ temps (generally less than 350*) I'm thinking (based on experience with my pit) the discolored/burned paint won't go more than a couple inches from the firebox. I think your neat graphics are safe. Time will tell. Good luck!
Got a bunch of cooking toys and a custom metal fabrication shop where I spend my time building all sorts of smokers & outdoor cooking gear.