Knowing the reason for the kernel panic doesn't really help anyone other than Apple, assuming they take an interest in it (more about that later). If it's some third party product incompatibility they will not be interested.
Review If your Mac restarts and a message appears - Apple Support. If you are sufficiently motivated to do so, contact the headphone's manufacturer, who is likely to tell you it's not their problem and to contact Apple. Apple in turn will probably tell you it's not their problem and to contact the headphone manufacturer.
In the unlikely event Apple identifies a fault with the Mac or with macOS, and Apple takes an active interest, then it will be up to them to fix it. They will not acknowledge a problem, but if there is one, it will be silently addressed in a future macOS update or upgrade. That can take anywhere from a few weeks to months, or more, but it's not as though they are just being obstinate or ignoring you.
But we can't easily "undo" macOS upgrades any more.
You may be able to advance troubleshooting if you were to start your Mac in "Safe Mode" Start up your Mac in safe mode - Apple Support and determining if the crashes manifest while in that mode, but not knowing what kind of headphones you have they may not even work in that mode. In any event it would be valuable information.