I wonder if the Catholic Church being so large and well-organized might actually count against it in this case. Many Protestant denominations don’t have nearly as strict requirements for their clergy as Catholics do; in many cases, a person can simply pick up a Bible, rent a small space, and he’s got his own church. Yes, there are some Protestant churches that are more organized, but a lot of them aren’t.
So, let’s say, hypothetically, a Protestant pastor at his “hole-in-the-wall” church in a small rural town does something scandalous. The local newspaper might cover it, but it’s unlikely to get any broader recognition. And because his church is a small, independent operation, there’s no one “higher up the food chain” to try to suppress this scandal, and it’s unlikely to spill over into neighboring churches.
Now, let’s contrast that with a global church like the Catholic Church. It’s entirely possible the next person up the chain - such as the local bishop - may try to bury the scandal before it becomes widely known. But this could have the unfortunate effect of encouraging the offender to do the same scandalous thing all over again. After all, he got away with it the first time, and his superior covered for him. And if his superior transfers him to another parish, then the odds of the scandal “spilling over” into a neighboring congregation become very likely.
I’ve noticed that most of the media coverage regarding Catholic scandals isn’t focused so much on the offending priests as it is on the bishops and cardinals who tried to cover it up and helped the offenders escape justice. This is something which, unfortunately, the Catholic Church with its global network and resources can achieve a lot more easily than a small-town Protestant congregation. As uncomfortable as this thought is, I suspect there might be even more cases of scandal that we never notice because the local bishops move to punish the offenders immediately; and no cover-up means no story.
As an example, when I was in high school, there was a scandal in my small town where a Catholic priest committed sexual assault. As soon as the bishop learned of it, he turned the offending priest over to the police. The local newspaper reported it, but it gained no wider recognition. Again, no large-scale cover-up = no news story.
If anything, hopefully this situation - as uncomfortable as it is - will encourage the Catholic Church to hold itself to an even higher standard.