Oh, there will be several results, actually; in a quarter century of practicing medicine, I've watched the growth of the individual becoming more active in their health care, and these are not projections: they're what I've seen happen...
*Some people will take the time and effort to make sure that the medical regimen, be it drugs or physical therapy, or whatever, doesn't interfere with other prescribed remedies; this is going to be a good thing, because people don't always level with any given doctor about what all they're taking and doing. It's not malicious--it's just forgetfulness.
*Some people will do some elementary preliminary checking on possible causes (primarily on the internet, and by the way in YAHOO Answers...), and will prompt physicians to check out-of-the-ordinary things that may need checked. This will be a mixed blessing, of course: sometimes, there is good reason not to check it (like strong evidence that it's absent) and it'll get checked anyhow. However, the lady with hematuria without signs of infection might tell me she's been in Japan, so I should check for Schistosoma japonicum--a parasite that you can't get here, but you CAN get in Japan, and that causes (sometimes) hematuria...
*Some people will get so wrapped up in being active in their own medical care that they'll come in to the physician having made their diagnosis already (Many of the times I've endured this, the diagnosis has been demonstrated to be wrong: like about 2/3 of the time), decided what they want for treatment (not always the best choice, even if their diagnosis is right), and insistant that they get the diagnosis and treatment they want without further examination, etc. They'll argue until they get what they have decided they want. Last one that told me the Internet said he had thus-and-so, and he needed this specific drug got told that he should have the Internet prescribe the drug and absorb the malpractice risk of doing so, because I disagreed and wasn't going there. I did not make a friend on that one, I regret to say.
*Some people will scare themselves silly. Of this, I see a surprisingly small amount.
*A lot of people will come in already educated about the right disease process, and I can talk to them on a more sophisticated, more precise level. Oh, the joy of it all!!! Or they will come in, asking insightful questions, looking for comprehensible answers in lay terms. Ya GOTTA love that! Well, I do, anyhow.
*MOST people will remain more or less passive. I'm not totally into that; I'd rather the patient and I worked as a collaborative team, you understand.
That's the gist of it. It's nowhere that simple--some people are in multiple groups, and I've sure not exhausted the listing of what I've seen--but it's a good start for thinking about the subject.
My own experience with people seeking medical care over better than a quarter century in medicine