At what cancer stage do tumors release circulating tumor cells into the blood?
Tumour cells can also metastasise using the lymphatic system. They first need to detach (produce enzymes that break down the extracellular matrix or any adherent molecules etc). Then they need to survive in the blood which is really hard with all the mechanical stress of being pushed around, the completely different nutrients, the different levels of blood gases, the immune cells in the blood and numerous filter mechanisms, then to truly metastasise they need to settle down somewhere and grow in their new environment. That's a lot of things right? So a sensitive assay like one you describe would need to have that tumour cell in the sample (unlikely, and only one cell is required to make a new tumour), is likely to be unable to tell that the cell is a tumour cell, wouldn't be able to differentiate between tumour cells that could or couldn't survive in the blood or differentiate those that could then go on to grow more in a tissue or not. And of course you're missing the entire lymphatic system. Following all of that, why does it matter? See a cancer, cut it out if you can and give chemotherapy to get rid of any possible cells outside of what you cut. If your assay came back negative or positive, treatment wouldn't change.