A future iteration of this product should be a household item that you use it during your morning routine, even before brushing your teeth. Preventative measures like this should be more widely available and built into peoples everyday routines.
Otherwise, you are exposing people to side effects of radiation and chemotherapy without them needing it.
This is called overtreatment and sought to be avoided for a reason.
First, you need near perfect results on 1) false AND true positives and 2) false AND true negatives. Otherwise statistics will screw your results over hard. [1]
Second, the benefits need to outweigh the issues with invasive testing (taking your blood every day, 365 days, for XX years is bound to introduce some risk of infection etc...).
[1] https://www.cancer.org/cancer/breast-cancer/screening-tests-...