It is self-evident that enough care is not currently taken on washing instruments. Or else we wouldn't hear about these kinds of things. If instrument washing was 99.9999% effective there wouldn't be a problem needing solving.
So what kind of feedback mechanism would be strong enough to get the doctors and hospital administrators to really be interested in the absolute level of quality of the cleaning and sterilization process? I don't know for sure, but I can say that anything that ties people's own personal outcomes to those of the folks they're supervising tends to get better results.
I (obviously?) don't want doctors or administrators to get horrible diseases for fun. What I want is for them to exercise an appropriate level of oversight and care.
I went to school for Electrical Engineering and while doing so I heard stories about people that went to work for GE designing things for MRI machines. Those people then were the first ones who had to test out the machines as people before they were allowed to be used on other people. I can't help but think that this kind of a policy makes people willing to double, triple and quadruple check their work when their own lives are on the line.
Similarly by making the people who should be exercising significant oversight (but seemingly aren't) subject to the results of the processes that they have designed it's very, very likely that they will do all the things that they need to do in order to ensure that their outcomes will be what we all expect: boring. That might mean that pay has to go up, or that minimum cleaning times need to be specified or that better inspection methods need to be utilized or any one of another dozen things.
If a doctor wouldn't be willing to use an instrument on themselves that they're going to use on another person I have a hard time understanding how they are adhering to their oath of "first do no harm" and I can't help but feel that anyone managing doctors should be similarly bound.