Of course one cares. Would you accept the surgeon to regularly decide and override your anesthetic management, like you were his nurse? I don't think so. Oh, wait, I forgot about cardiac anesthesiologists.
Just because he's currently not busy with cutting and sewing, he's not the most competent individual to make critical care-related decisions, so he shouldn't. I continue to be unimpressed by the medical management, thinking and knowledge level of most surgeons, including those CCM-certified.
And, btw, most decisions in the ICU are "obvious" only to the surgical-minded, the knee-jerk reflexives. This is not the OR, and a bit of thinking might point out a better plan, with more comfort and fewer risks for the patient. Intubations are not a given (unless the patient is unable to protect her airway), neither are (central) pressors, which of them or the way they are given. Etc. One does not just order a few protocols there and then walk away for 12-24 hours, letting nurses or trainees "manage" them. "Call me if x changes", my behind! Critical patients need to be micromanaged by intensivists, rounding on them at bedside as frequently as they actually need it, not when the doctor has the time or inclination, and definitely not by phone and proxies. One has to see and interact with the patient and her physiology, not just apply algorithms and treat numbers in the computer.
These are sick people with labile (and different/unclear) physiologies, and not many things have been proven as cut in stone when about managing them. There is still an art to it.