So, no. GM's put out a fair number of stinkers including the Ecotec and the High Feature V6. Chrysler actually recalled their late 00s Hemi engines over timing chain problems. The previous owner of my E39 had to tear the whole engine apart because the timing chain guides failed (as they pretty much all do). BMW's later N20, N47, and N57(N) engines are also well known for timing chain problems. VW/Audi had plenty of timing chain issues with both the 1.8T and 2.0T. Let's not forget Audi's famous rear mounted V8 monstrosity. Jaguar's AJ8 was legendary for timing chain problems in its first few years. Nissan's had trouble over the years with the chains on both the V6 and 4 bangers…
Meanwhile people put hundreds of thousands of miles on Volvo's old four cylinder with a… timing belt which takes all of thirty minutes to replace.
Chains vs gears vs belts has no bearing on longevity. The big difference is that chains are smaller and when you need to work on a chain it's generally far, far more complex than a belt drive. Don't forget that engines like the Ecotec, EcoBoost, M272, N20, and 2.0T are basically the bread and butter of those companies. They are high volume mass market engines.
Mercedes tend to last a long time because they're expensive, people pay to repair and maintain them, and nearly any Mercedes part for any Mercedes car can still be purchased new.