The key you're referencing is for the Boss 302, which remaps the engine tuning to provide additional power and less streetability.
I'm definitely of the camp that no auto manufacturer is going to put a burnout button on their vehicle, both because of legal reasons, and because burnouts prematurely wear many components, including brake pads, tires, transmission, axles, etc. The maintenance/warranty issues would be absurd. Imagine you do a burnout with Ford's burnout button, dump the clutch, and it shatters, tearing a hole in the transmission bellhousing, opening up the hood, and puncturing a tire. Then imagine a smoking hot piece of clutch disc hits someone and injures them. Option 1 is that Ford says - "Well, you took the risk using that feature, so we're not covering it." Option 2 is is that the person hit with the clutch disc sues the driver, Ford, the dealership, the engineer that designed the clutch, the engineer that designed the burnout system, their insurance companies, et al, and comes away with a six-figure settlement.