What little is being published in the field strongly suggests that the sort of creativity required to develop new algorithms to solve computational problems, and to answer complex diagnostic questions, is exactly the kind of thing that is being developed. Look at IBM's Watson, for example - it's being deployed as an expert system in medical diagnostics, so surely you can't imagine that it couldn't do the kinds of troubleshooting currently done by software engineers?
Watson is doing nothing creative.
As a game show contestant it dug up defined facts.
As for the medical system--the main part of the practice of medicine is not creative. It's complex but determinate--and that's all Watson is doing. The creative aspect of medicine is figuring out the cases that don't fit the pigeonholes (note that many doctors aren't good at this, either--those of us who don't fit the pigeonholes all too often encounter the assumption that if it doesn't if it's not real) and figuring out what to do when the stock answer doesn't work.
Take an article I was just reading about the Rout 91 shootings. The hospital with most of the victims (the closest one) had more patients that needed ventilators than it had ventilators. What would Watson do? Nothing. What did the head doc of the emergency department do? Find two patients that needed the same settings, put them next to each other, put a Y in the air tube and double the flow rate setting.
By your definition, that human doctor was not doing anything creative either.
What did that doctor create? He just applied some (perhaps apparently disparate) elements of his existing knowledge, and combined than in a way that resolved the problem. Which is exactly what all 'creative' technological solutions entail.
Ultimately there's nothing special about human brains - if a brain can do it, then a computer can be made that can also do it.
No, he was being creative. Watson can only regurgitate, not create. Now he might be able to suggest using one ventilator on two patients but not then. There were also things like throwing out the safety protocols and having the nurses walk around with a bunch of succinylcholine in their pockets because getting it a vial at a time from the system was too slow. (It's commonly used in severe trauma cases but they normally keep careful tabs on it because it will stop the patient's breathing--mistaken administration is likely to kill.)