By all means, if you have studies showing that broad screening programs are beneficial in terms of overall (not cancer-case only) QALY then please share them. I'm guessing you don't.
> As you're choosing to limit the discussion to overall survival, do you have any data to support the claim that screening has more than a negligible negative effect?
Do you have any data to support the claim that screening has more than a negligible positive effect on overall survival? (No).
Stop trying to put the burden of proving a negative on me. If you want to advocate for spending ten of billions of dollars annually (not to mention time and stress) on broad screening programs you bear the burden of demonstrating that's useful.
If we can afford to spend the money on screening everyone certainly we can afford to spend less money to run a large randomized trial screening only some people, but advocates of the screening programs won't stand for it because they are convinced of their own righteousness and refuse to admit uncertainty about whether the screening programs are actually doing more good than harm.