Those reservations are only not blind faith if they are changeable. And since the evidence already exists to show that such reservations have no basis in fact, continuing to hold them is, whatever you might think, a level of "blind faith" -- this time, the faith that your own observations are somehow more valid -- or perhaps, 'only' just as valid -- than those of pretty much the entire medical community, over hundreds of experiments, with many hundreds of thousands of test subjects.
To continue to hold reservations that fly in the face of such a large body of evidence is at best wrong. And for that matter, it's not totally unrelated either. There are many reports flying about that say, in a nutshell, that faith healing works. Two recent cases have come to my attention. A friend of my brother's who suffered from Coeliac disease and definitely manifested symptoms earlier in life at the slightest whiff of gluten, was apparently prayed for and afterwards is not able to down an entire plate of pasta without reacting at all. Separately I got an email from some friend's charity about a blind woman healed through the "power of faith". People could be forgiven for thinking, through these observations and many others, that they could have "reservations" about the idea that faith healing does not work, and might therefore be tempted to try the idea for themselves.
Actually, spontaneous remission of childhood Coeliac disease is not unknown, so the faith healing was most likely a coincidence, but the point is that if you place a lot of weight in personal experience and accounts from friends, etc., then you may well take seriously all sorts of things that turn out not to be even remotely true. And it is blind faith to do so, whether it be faith in the power of prayer, or faith in alternative medicines, or faith in alternative views of medicine.