There's a lot of wild speculation up there, but (here's my own speculation) I think hyperv6 is closest. Heat and stress. A smaller, high strung engine at its limits may outperform a bigger, lazier engine in the short term, but the it'll grenade way sooner. I'm sure the 2.7L can out tow the V6, just not for very long. GM has warranties to service.
They may run with more power and heat but shorter lives are not always a sure thing.
The Eco tech engine was built to take a lot. I knew John Lingenfelter and when he was driving a Pro Stock truck with an Eco he was getting 1400 HP out of a stock block and head before they cracked the heads. He had to run them as no one made a racing head.
The Solstice Drifting program ran a 500 HP Eco 2.0 for an entire season with only replacing the rotating assembly and adding a larger turbo. GM produced several books on how to build these engines and how much power they could take before breaking.
In the past the T type Buick V6 Turbo and the T bird Turbo 4 had major issues and short lives as they were not built correctly. GM and Ford tried to use stock engines with add on turbo systems. GM did not get it right till they added the water cooled Turbo housing on the GN. Before that the turbo would coke up at 35,000 miles. This would block the oil to the turbo and kill it.
Today the oils and materials the turbos are built of are now much better. Even the engines now are built to a much higher and stronger level. Then add in the oil cooling on the pistons and the direct injection on the engine that cools the cylinder the they are built to take the abuse.
In fact the 2.0 Turbo eco I had share little with the 2.5 eco as it used a special head and block. Rods were similar to the old GM forged Pink Rods.
From what I have read on the 2.7 is that GM also did the all in approach here too.
Just keep in mind that GM and others are building many more Turbo 4 and now 3 cylinders than V8 and V6 engines and we are not seeing massive failure rates. The two negatives to the turbo is added cost and added parts that could fail. But in the long run it is the only option to meet emissions as they are running out of cylinders to drop and not enough valves to get enough air for efficient burns. They are spending more just to meet regulations not to be turbo cool.