I'd say so, once the engine stops, all cooling and lubrication stop.
The more modern turbos spool down faster, so that's a bonus, but the physics hasn't changed - if it's too hot, it cooks itself regardless.
I had a discussion about this with the service manager (who races in the Variety Bash every year). I was asking about a turbo timer, and he said in general I didn't have to worry, because as you near your destination, you tend to slow down (entering suburbia) and therefore aren't using a lot of boost.
He did warn me, however, that if I was hauling my van up a hill and decided to stop at the top, I should let the engine idle for a minute just so the turbo spools down at least, and the new technology will drop the temp in there enough to prevent the oil cooking in the bearings.
I'm no expert but it sounds fair and reasonable.