I have recently done a lot of "due diligence" on engine shops, to get my crank swapped under Lyco's SB569.
The UK engine shop scene is best described as mayhem. At one end you get the good shops some of which many take very long (3-4 months) and at the other end you get some right crooks, including some big firms.
The US engine shop scene is easier to get data on because there are more people reporting; one can read surveys in e.g. Aviation Consumer magazine.
I went to a specialist American engine shop.
Cranks and conrods last a very long time - a number of overhauls. As so many smaller parts e.g. inlet valves.
The best thing is to run an engine regularly (once every 1-2 weeks, or more often), and do oil analysis (send a sample to a lab). In that case, there is no particular significance in the 2000hr figure - other than specific lifed items e.g. the engine driven fuel pump which has a 2000hr life and whose diaphragm will eventually go, and dry vac pump of course.
The big caveat to the above is that the average private owner can take several decades to reach 2000hrs, which is far too long, given the amount of internal corrosion etc. Hangarage can also make a big difference to engines flown less often.