Thanks! Paraphrasing to check my understanding: you don't use the stat I mentioned, instead measuring whether the patients ultimately die from cancer or something else. You use a control, so after like detection method some patients get treated and some don't. But not treating may be unethical, so you use a "synthetic control", which I had to look up. Basically an invented group of not-treated patients based on statistics from other populations. [0] It sounds interesting but tricky to get right. "A healthy degree of scepticism on the use of synthetic controls is thus expected from the scientific community."
[edit: or, looking at the NLST you mentioned [1], maybe "treatment" doesn't always mean what I think of as treatment. They are actually comparing two different detection methods, and they aren't using a synthetic control.]
Do they ever use the "survival time after detection" stat I mentioned anymore, or has it been (/ should it be) abandoned?
[0] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7218288/
[1] https://www.cancer.gov/types/lung/research/nlst