If I were to learn really how to care for a 2 stroke, are they a dependable for a small plane like a Kolb or Areolite? I have heard of people who never have any trouble with them, and of course shock cooling locked up things.
I have many hundreds of hours flying 2-strokes, on paramotors, three Quicksilvers, and my Kolb. Never have I had an engine failure caused by the fact that it's a 2-stroke. I
have had reduction drive failures, ignition failures, exhaust system cracks (all on a single cylinder engine with its associated vibration), and carburetor ice, all things that can happen to any engine (though admittedly most 4-strokes, except for Rotax 9xx engines and a few geared Lycons don't have redrives). 2-strokes got a bad rap in the early days because nobody knew how to properly operate them-- you can't operate them like a Lycoming or Continental-- and nobody had much of the way of gauges on them (CHT, EGT).
Shock cooling really isn't a thing. What 2-strokes
don't like is long fast descents at partial power; idle is best for descent, with the occasional blip of the throttle to keep it from loading up.
TBO for our ancient Lycomings and Continental 4-strokes is 2000 hours. TBO for a typical 2-stroke is 200. There’s a message there…
More like 500 hours for most 2-strokes. So you rebuild the engine four times as often... which takes less than 1/4 of the time, at less than 1/10 of the cost.
Getting the jetting right will be the key. Too rich and they bog and foul plugs, too lean and they seize.
The Cuyuna engine on my Kolb required a jet change twice a year, in the spring and the fall. Other than that it's a matter of keeping an eye on EGT and CHT. The only problem I ever had with the engine was carb ice on a
very humid day, and for several reasons even that is rare on a 2-stroke... and I got it restarted before I reached the ground.
Does this depend on the lubrication system? I can see this statement being true for the 2-cycles that contain the oil in the fuel. There are some that have a separate oil feed or sump.
No, that's not the issue. Run too lean (I mean fuel/air mixture, not oil ratio) and the engine seizes due to lack of cooling, not lubrication. So don't do that.
Learn how to maintain (it does take a bit more maintenance, but it's simple stuff that anybody with reasonable mechanical skill can do) and operate a 2-stroke and it can be very reliable.