Not sure what line of work you are in, but are you willing to answer endless emails and or voice mails from customers, all for free? I know I am not - and while you personally may only ask one question a year, a typical MD may have a panel size of 1000 to 3000 patients (at least the ones I know); multiply one question per patient by 2000 patients, and all of a sudden you find out you worked for free for most of the year.
Maybe if insurance companies had a billing model that allowed the MDs for charge for this type of 'support', that made them some money it would be workable - but I can't blame them for not wanting to give out free care this way.