Yes the majority of doctors and medical staff request socks be removed for common check ups and physicals. While the reasons have been discussed here it is well to remember that the blood vessels in the ankle areas are indicators of present and future problems. Basic reflex issues (even neurological testing for Parkinson's disease) takes place by scraping the sole as previously mentioned.
Since we're on the subject of fetishism, the medical foot fetishist will love walking barefoot on cold highly waxed floor tiles. The thick ribbed platform of weighing scales are kinky too in feel and texture. Then too there's the question of bare feet in the stirrups. My doctor rightly offers sock-like stirrup covers rather than suggest the patient wear her own. That little bitch assistant who brings me to exam room #2 every year for my annual never fails to remind, "Take off everything you're wearing right down to your socks." While I love hearing those words and moisten to the thought of stripping off in a midtown office, the admonitions are demeaning and makes me feel childlike.
Once in the stirrups my toesies flank the doctor's ears at precisely the same height and I've had my feet brushed and pressed against accidentally by that same little nurse who so insistantly demanded my feet be naked in the first place. Go ahead, drop your pencil so you can get your nose close enough to smell my hoofers. I've had my French pedicure admired by minxy office personnel entering the exam room to drop off a med chart. They should see my latest wax job...(and some of them have!)
Well gynecology isn't the garden variety of physical exam but a friend of mine working as an assistant PA says that every young woman coming in for employment physicals wearing shorts, flip flops and a Tee...invariably removes her flips and skinny's down to her panties without hesitation so it depends on what your used to. Incidentally play doctors who omit foot examinations are missing out in my opinion....have fun with it