CT, ultrasound, nuclear medicine, and MR images can be transmitted from the imaging site to a computer in the home of the on-call radiologist. Very little information, if any, is lost in this transmission. This technology is, however, improving rapidly. No, not really. Radiologists generally do not work for the hospital and do not have any sort of control over hospital employees.
Most radiologists accept that function.
Don't expect that to happen. Most don't even try. To see what the radiologist does all day, go to Spending the Day with Dr. Michael. There are a couple of relatively easy things you can do, like ask your primary care physician. Also, many states allow the public to view information about state-licensed physicians.