High TPI will make a tire more supple. But generally, when makers are doing that, they are also trying to make them lightweight. So as a result, high TPI tires are often less puncture resistant. Also, higher TPI tires can generally be run at higher pressures than lower thread count tires with same ride comfort, allowing lower rolling resistance. I was not aware that some were using 3 layers of 110 or 60 TPI material and calling it 330 or 180. If the tire is made out of 110 TPI material, it doesn't matter how many layers you use, it is going to ride like a 110 TPI tire. Using more layers might make it less prone to flats, but it will also increase the rotating weight.