The activation temperature of gunpowder is around 400 - 450 degrees F. If you’re pre-heating the oven for a turkey you should be fine. Self-cleaning the oven the you’ll soon need to do some remodeling of your kitchen.
I watched some video (after watching a movie with the fire setting off the ammo and the bullets “shooting” all over the place) about what really happens with ammo during a fire.
It just does a lot of popping but no velocity. It was some fire department doing training. Then another one was a demonstration. The wooden building mock-up contained the small explosions as the rounds popped off.
But yes - the kitchen would probably need some work done on it. The small explosions would probably be enough to blow the door open.