While you are technically correct, it appears you've missed the point: being able to detect tumors better doesn't improve lifespan if we end up aggressively treating benign ones. This isn't a theoretical problem, rather one we are seeing right now.
Look at thyroid cancer: detection and treatment rates are much higher than they used to be but the death rate has remained steady.
Source: http://www.nytimes.com/2014/11/06/health/study-warns-against...