You really should talk about things you understand rather than make such unfounded assumptions.
Firstly the BREEZE system, is currently usinf Chlorhexidine Gluconate mouthwash, NOT CHLORINE DIOXIDE.
Secondly BLIS is only effective if you knock the bacteria down first. I believe that you are not using the knockdown rinse as prescribed, but rather just sticking the BLIS lozenge into an already bacteria infected mouth.
Thirdly, rinsing with the bacteria allows the same colonisation as sucking a lozenge. A 60 second rinse is clinically the same.
Lastly, using genetically modified bacteria could cause future problems that no one has forseen yet.
In all honesty, no one is forcing you to buy the product. And from all the systems out there, this has proven the most effective.