But Bianca doesn't train her pokemon at all. She just tries to make them cuter. Trip does train his pokemon, so common sense tells me he does the same with the clown. It makes no sense to believe he doesn't.
It was never said that Pignite won her the badges. All that was mentioned was "I only have two badges right now" and "I only have Pignite right now". For all we know, she could have gotten the Basic Badge by saving Lenora's Lillipup from a fire, and the Trio Badge by making Cress laugh.
...Bianca does train her Pokemon, she's never tried to make her Pokemon cuter...ever, the only time she tried to make a Pokemon cuter was back at Don Battles where she was trying to steal Luke's Zorua, and that was obviously because she was crazy about the thing.
How does Trip train his Pokemon if Bianca doesn't? When has Trip ever trained his Pokemon besides having battles(Which Bianca has)? Although I'm not saying he doesn't train his Pokemon, he clearly does, and it's just as clear that Bianca as well trains her Pokemon...
Common sense is common sense. It's obvious Pignite got her the badges, since there was no mentioning of any kind of "pity badge" or weak gym leaders, we have no reason to assume that and instead we should assume that it was an average gym at the very less and Pignite was able to win both gym battles.
Bianca doesn't train, Trip does. The pig was shown to be very weak, while Timburr and Gurdurr weren't. Also, Timburr evolved all the way to Conkeldurr very quickly, which must have taken a lot of battles.
Looking at the ruins, getting a fossil, catching herself a cute little Dwebble............
How was Pignite shown to be weak while Timburr and Gurdurr weren't? None of them won any on-screen battles as of yet, however Emboar will be soon. Pignite also evolved all the way rather quickly, which by your logic much have taken a lot of battles as well since evolutions means a lot of battles(Even though it doesn't).
Your hate for Bianca makes you way to bias and unreasonable. Bianca isn't a horrible trainer, if you don't like her whatever, but there's no reason to always bash her every single time.