No airline pilot's total experience "consists of catering to passengers who flinch in mild turbulence", no matter what nationality. They've *all* got to the airliner captain's seat by way of thousands of hours of flight experience, with several hundred hours in light aircraft and commuter airlines, with plenty of experience in solo flight, turbulence, and steep turns. And the vast majority of airline pilots are there because they love to fly, and therefore when not carting people to and from their holidays, they *do* fly aerobatics, fly sailplanes, or fly to out-of-the-way airstrips. It's not extraordinary efforts, it's just what they *want* to do.
This might be normal for the US, Canada, Australia, and New Zealand and one or two other parts of the world but for a lot of Europe, Asia etc this isn't the case.
A lot of Europe? For Western Europe, which is by far the larger part in terms of aviation, the standards are similar to US, NZ, etc.
There is no General Aviation and very little in the way of Commuter Airlines. Cadets are going into the right hand seat as a First Officer with virtually no experience with around 200 hours total flight time. From here on in the only flying they will do before they become a Captain is the flying they do as a First Officer.
For many of these pilots it is a fact, their only real flying experience is "catering for passengers who flinch in mild turbulence".
There may not be much GA, but the whole point of that first 200 hours is to learn airmanship.
And you don't mention the recurrent simulator training that pilots are required to do, precisely to be able to handle uncommon emergencies. And the biennial flight review, aka check-rides.
Sadly it is likely to get even worse. An MPL or Multicrew Pilot Licence has been introduced and is being used in some parts of the world to fast track pilot training. You may be surprised (shocked) as to how little actual flying experience some pilots will have before they sit in the right hand seat of a jet as a First Officer (Co-pilot). As little of 30 hours in an aircraft with at a guess no more than 10 to 15 hours solo flight time.
A commercial pilot's license is 150 hours minimum. For an ATPL, the pilot must have at least 1500 hours of experience in aircraft, including 250 hours as pilot in command (PIC) and be at least 23 years old. In the UK, an ATPL is needed for PIC of any aircraft carrying 9 or more passengers. https://en.wikipedia.org/wiki/Airline_transport_pilot_licence
I do agree that, particularly in Asia and Africa, there are countries and airlines that cut corners on pilot qualifications (and pretty much everything else). If you choose to fly on one of these airlines, caveat emptor.