Engine or ABC work on those cars can cost a fortune, for one because you'll need a shop that really knows what they are doing, for another because the parts are expensive.
Maintenance as you've correctly identified is key, as is a good inspection prior to purchase and a good warranty by the company you buy it from.
On the plus side, you can buy these for a very small fraction of the new value even with very low mileage. If you want to pity someone it would have to be the first owner, it's fairly regular to see write-offs in excess of $4/mile driven.
Most shops in the US won't do more than basic work on them. Being so rare, you typically have to go to the dealer or a Euro-import specialist shop in the US. These shops typically won't work on a new-new car, they typically wait until the model is 5 years old before picking up the equipment for them (which can be expensive).
It's not a cultural different, but an economics one. I'm sure getting a Ford Mustang fixed in the UK is expensive despite being a car any American mechanic is comfortable working on.
The issue is that German cars in particular have a reputation for being quite expensive to maintain outside of warranty. In general for most cars it's not a big deal.
What a terrifying statement! I owned an AMG Benz for about 3 years and it was nerve racking towards the end. Glad I kept it in good shape and nothing blew up on my watch.