Hello NoMagic,
Welcome to Apple Support Communities. Whaat is the exact iOS 16 version installed on your iPhone? Settings > General > About.
iOS 16.0.2 was released recently and it addresses the an issue where touch input was unresponsive on some iPhone. About iOS 16 Updates - Apple Support
If you haven't updated already, please back up your iPhone, and update using the steps in the following link: Update your iPhone or iPad - Apple Support
If you already running iOS 16.0.2, and the issue persists, please contact Apple Support for further assistance. You can reach out to them using this link: Apple Support
We hope this information is useful. Kind regards.