I don't follow: I
am the patient. For me, a blood test is simpler, because there's absolutely nothing for me to do. A stool test requires me to find not one, but two times
before I go to the clinic when I need to poop, and to then go through the task of collecting samples from those poops. (The annual stool test requires 2 samples from two separate BMs.) A blood test literally means absolutely no work or extra time, because I'm already getting a blood draw done at the clinic anyway.
It's going to be the same for every patient. The clinic doesn't have to worry about patients forgetting to bring their stool samples, forgetting to do both of them before their appointment, doing them poorly (getting a bad or insufficient sample), etc. The clinic can control everything much better since the blood draw and the handling of the samples is entirely under their control.