I feel Bob Orci is ignorant. These people are in an induced coma state. Doctors in our contemporary era can take blood samples from comatose patients without having to wake them. And, considering this is the future, I would think their ability to decode the genetic structure could be done in minutes. A greater concern I have is that blood type has to match blood type. If it doesn't, there is a probability that the bodies' immune system will attack the new blood.
It is possible to beam through shields. Miles O'Brien was able to beam through the shields of the Phoenix, because he knew the frequency. Shields go through a cycle, and, at the end of each cycle, there is a brief pause. Time the transport just right, and a person can get onto a ship.
Is it my imagination, or are the transporters in this new Star Trek slower than the older transporters? And, is it my imagination, or was Carol Marcus experiencing pain when her father was attempting to beam her off the Enterprise?