Funny enough my surgeon on one of my bike accidents was also an avid cyclist. I got to tell him about the virtues of fixies, he told me about his beautiful racing bike and how he keeps his derailleurs functioning smoothly.
But yes I will drive extremely carefully near our hospitals. Too many overwhelmed stressed out people there.
Thanks for typing it out! Doctors jumping to conclusions that are demonstratebly false by facts happened far too often to me too. Adapting by choosing a different one seems often the only solution.