breaking bad is a great show, one of the best ever.
that being said, i think this show has more than enough drama and conflict to make it entertaining, and there are things outside of conflict that make great entertainment. awesome characters, a great story, wondering what will happen next....
there is no comparison between watching walt successfully cook meth and frank successfully position himself to be president.
in BB, the show is all about his conflict and struggles. its not a show about a man who becomes the awesomest most successful meth king pin ever. its about a man pushed to the edge and all the conflict and failure he runs into in the position he mistakenly put himself into. the intrigue of BB is walts lack of perfection.
whereas in HoC, the the show is about franks shrewd, calculated and heartless ambition. the show is not about his struggle, its about how he pieces together a very complex and intricate plan to get where he want to, and all the very shrewd and powerful people he has to out maneuver. that is what the shoe is about. if he were to reliably fuck up, it would never work and there would be no show. the show is about his perfection and the steps he takes to employ his skills.
since you brought up BB, let me say that despite its absolute greatness as TV entertainment, there are few shows with bugger plot holes or absurdities than BB. lets look at a few. brilliant mind, absolute top of the line chemist and general insane genius end up as loser HS teacher. unlikely. gets cancer and realizes being a meth cook is the best plan. unlikely. does not get killed by tuco or any other number of ruthless murderous drug players. unlikely. involves himself in this trade at great risk of a wife and 2 children. unlikely. said family is not murdered by drug lords. unlikely. is offered complete financial savior by an old colleague and friend, and turns it down off hand out of pride without consulting his family despite the reprieve it offers everyone. unlikely. pairs up with perennial fuck up jesse and manages not to get ruined or killed by their association. unlikely. murders numerous people in cold blod despite not being an otherwise evil dude with no conscience. continues to fuck up and yet is not killed by gustavo who kills at the drop of a hat. the list goes on and on.
point being, its a HIGHLY HIGHLY unlikely set of circumstances, in fact id say it is an impossibility. but its a great and entertaining and a phenomenal story with phenomenal acting. that is why its great. no great show is ever plausible. not drama, not comedy, not medical or legal. if they were, it would not be on TV. no one wants to watch the mundane and plausible. its only a matter of what you allow yourself to forgo to enjoy what you are watching.
so you can take all your technical rules of why this show an terrible, but it doesnt matter. its intriguing, the acting is solid, its a story that is new and exciting, so people enjoy it. nothing you can point out will make that change.