The DIR approach sounds fairly silly to me. I was recently diving in 0 degree (celsius) water, and air erupted from my left post. I didn't do anything besides reach back and turn off the left post valve. That took 5 seconds. If I had performed the DIR method, I would be a very pretty, very deceased diver.
You have been badly misinformed and are operating under serious misconceptions. The actual DIR approach is covered in the GUE Valve Manual, a 22 page PDF included in their Tech 1 course materials. I recommend you take a pause here and read through it a few times, then practice with a qualified instructor. If there is an actual (or simulated) failure then you obviously aren't supposed to run through the entire valve drill. The valve drill is intended to build comfort and motor skills, which will make you faster with repetition.
It is helpful to keep one hand free to signal your buddies with your light rather than using two hands on valves. When you have some kind of equipment failure, preventing team separation and calling your buddies in close is just as important as dealing with the failure. In my experience, asking a buddy to come take a look will often get you squared away faster than trying to do it all yourself. You might also need a free hand to deal with buoyancy issues as even experienced tech divers often struggle with buoyancy control when troubleshooting with an urgent problem.