There are several NHTSA/FTC investigations & class-action lawsuits against different automobile manufacturers, foreign & domestic, FCA included. That said, while it can happen, I don't think that the 200 is any more prone to it than many other models.
Stalling without warning is a safety concern. There are recalls for it. The worst thing for a manufacturer to do is to deny that there is a problem. GM took a big hit when they denied the ignition switch issue. The power steering & airbags would also quit when it shut off. People died.
The 2.4L MultiAir has a valvetrain that is actuated by oil pressure. Some had oil consumption issues & if the oil level was allowed to get low, stalling was a possibility.
The recall was a software change that holds the throttle open slightly to reduce intake manifold vacuum during deceleration. The problem was oil getting sucked past the (low-tension) piston rings into the combustion chamber.
The low-tension rings reduce internal engine friction losses to improve fuel-efficiency.
Not all of them have this problem which also helps to explain why this potential defect wasn't caught in early testing.
Crankshaft position sensors can also have issues:
I don't think that the problem would be so bad if this were found and fixed on the first shop visit. The problem is that sometimes a unexpected stalling problem is usually 'intermittent'. It may not trigger any fault codes and may not be repeatable in the shop. This can get very frustrating if it keeps happening.
Many stalling issues have to be diagnosed on a case-by-case basis. A tune-up rarely fixes a stalling problem. Fuel can and sometimes that is beyond the automakers control.
I have used a 'data-recorder' (Co-pilot) plugged into the diagnostic connector to make a recording of what the PCM did or didn't see leading up to a stall. It can take up to three 90-second recording that can be analyzed back at the shop.
The worst thing to do is to start guessing & replacing parts. Diagnosis can get involved & may require tools that only a shop has, but it is a good feeling when you can 'prove' the problem and repair just the problem.
An example: