The biggest problem with that route is NO PIC TIME!!!! You will not get upgraded without it! Besides, you need at least 250 PIC for the ATP. I know of some guys who had to go out and rent a Cessna 152 (with their FO salary) because they skipped instructing to go to one of those places that hired them with under 300 TT.
And please forgive my ignorance, but what is "PFT"? Is that Primary Flight Training? If so, it is true that some people find teaching primary students to be stressful, annoying, scary, frustrating, etc. It can be all of those things, but you really learn patience if you choose to. You also have amazing moments. I feel an awesome surge of joy each time one of my primary students solos. I'll never forget the first student that I soloed. I was nervous, but I was so happy to see him fly like a champ. I hope these experiences will help me be a better captain in the future.