Will leveling FB to 60 and using her on your CB team improve your team's damage? Sure, I believe it will for all the reasons you posted above. No one is saying she is a bad champion at your stage of the game. What you have to understand is that the people who give advise here are speaking from a long term perspective. In a few months, when you've progressed your account, pulled better champions, and gotten better gear... FB will be just another lvl 60 Rare that sits in your vault until you need her for a Doom Tower secret room or Faction Wars.
As kramaswamy.kr said above, the difficulty of CB increases exponentially as you progress from level to level. For example, I can currently 1 key Nightmare daily doing +/-50M damage with a killable team. That same team averages around half that damage (+/-27M) on Ultra Nightmare.
What I found from my CB experience with Poison damage is that it falls off rather quickly as your main damage dealing skill once you start getting into the higher CB tiers. My original CB team through Brutal was Urogrim, Kael, FB, Fayne & Godseeker Aniri. This team served me well but @ Brutal I hit a wall and was unable to do better than an occasional 2 but normally 3 key. At that point I had to re-evaluate my team set-up and damage profile.
CB has a damage cap for single skills. This is mainly directed at skills that do damage based on enemy max HP. Because clan boss has significantly higher HP than any other enemy in the game, poisons (2/5% of enemy HP), HP Burn (3% of enemy HP), war master mastery procs (4% of boss HP) or Giant Slayer procs (3% of boss HP) would be way overpowered otherwise.
At the end of the day it's your account & your CB team. If you want to build FB because you like her, like her kit, and you feel like you will enjoy playing with her then go for it.