We have a few geniuses driving V Tails that like to startup and run at 2300 RPM for a while. They also like to scream into the pattern and push prop full forward so you hear that nice whaaaaaaaaaaa scream.
Yeah, I have shaken my head at a few club members for doing similar things with the Archer. Starting the thing up and then letting it go straight to about 1500 and stay there. I always pull it back for at least the first bit. Shocking the engine, either heat or cool, is not good.
I'm thinking TBO isn't something these guys worry about....
Now that I've started flying the Mooney (and have more knobs to play with, as well as more instrumentation), it gives me more to think about with regards to engine management and longevity. Something I'm enjoying. I pay close attention to the CHT, and even on climb-out I attempt to keep it below what I estimate to be 400F (the gauge goes from 200-475), and I modulate the cowl flaps, mixture, and air speed appropriately to keep it there, or at least as closely as possible. In talking to other people who do that, it seems that those engines last the longest with the fewest problems. Meanwhile, there's a Malibu in the FBO here that has 600 hours on its cylinders... all of which were just ripped off to get overhauled due to low compression and high oil consumption.
Sure, these engines are durable, but if you want your engine to actually last a long time, being nice to the cylinders and the oil system are important. Don't shock the engine either with heat or cold. Try to keep things in their appropriate temperature ranges as much as possible. When you start up the engine, let it run at a lower RPM for a bit to get oil through the system and up to pressure, as well as to get that initial heat-up at a slightly slower rate.
You see the same thing with cars too, of course. People just say that the engines and transmissions can take it, then start the things up on a cold day, put them into gear before the engine has even established an idle RPM, and then take off and shift the thing up at 4000 RPMs. I have noticed those same people wonder why their valves start making noise prematurely and other engine issues begin to pop up. For comparison, I expect 170-200,000 miles out of my vehicles, and haven't failed to get it, even though I know I work them hard.