Great point. What startups that are trying to infiltrate "old/traditional" industries like hospitals or healthcare are realizing. Need to shadow doctors to see their workflow, not just propose a solution based on your observation or reading articles about hospital shortcomings.
Being an outside can sometimes mean that you call attention to that, and show better ways. And with the internet and publications, can be an effective way to do that.
Most of the times however, there are reasons and you should at least understand why. But for those cases where "why" isn't defined, poke at them.... You're likely to find something interesting.
There is always a reason why things are done a particular way "It's always been done that way" is shorthand for "I don't know why it's done that way". Like history, you need to understand the reasons behind a process before you can effectively change it, otherwise you are doomed to make the same mistakes and very soon your shiny new process will start to look as cobbled together as the previous one.
The way the system works in whatever country you live in has shortcomings. Finding ways to fix those issues higher up the chain will provide the most value.