Would it need to? If your test ever came back postive, you'd go into the doctor, presumably retest to confirm, and then start appropriate treatment, regardless of how fast-growing the discovered cancer was.
To be clear: I'm not arguing, just genuinely curious as this isn't a subject I know much about.
Since none of the treatments we have are 100% effective, they can be worse than useless, actually increasing the overall death rate, and ensuring that the end of life is long, drawn-out, and horribly painful.
The point you're making seems orthogonal to me. Unless you're claiming that treatment is never worthwhile for such cancers, no matter how early they're detected, but Greg's original statement seemed to imply otherwise.
That's likely not right. I would believe something more boxed in...like 20% of patients who die within 30 days of starting chemotherapy died from it versus the cancer.
I'm sure there would be types of cancer that would benefit, but it would involve a lot of study of outcomes.