Hi KTF,
That's an interesting question. If you arrange the insurance yourself then the answer is yes - your insurance company probably won't do anything except add the information to your notes - they almost certainly won't increase the premium. If your company insures the car then I would say no - there will be a blanket policy covering all the company's cars and drivers, for which the insurers charge a high premium as they are insuring people who may be good, bad or indifferent drivers and who may have a variety of health conditions. They can't expect an employer to divulge the health of every person who might drive one of their cars as the employer won't necessarily have this information.