Without having played TPS yet but knowing the plot, it was a game which absolutely wasn't needed. Handsome Jack was just better being there as a total knob; he didn't need any damn personal connection to the original Vault Hunters, or to have it swing around because of them. BL2 set him as an opportunist who capitalised on Eridium the moment it was released into the world, and it worked because he was neither a generic boss nor a soldierly type like Commander Steele. And he most certainly did
not need Lilith come along and scar him as the origin story for his mask grafting. Overall, extremely weak and disappointing. Knowing what happened in TPS leaves no doubt in my mind that he would have killed Lilith when he had the chance instead of towing her along for the Vault when Maya would have made an equal substitute.
And yes, I agree that he was supposed to be annoying. I just imagined a guy sitting behind a mic being a douche while waiting for his minions to kill you, and I really liked some of his dialogue:
I haven't really enjoyed any of them so far, to be honest. Knowing what happens to Tannis is disappointing, since she never really deserved those powers to begin with. She was fine as a crazy yet knowledgeable scientist, and giving her those powers does nothing for her character.
Ellie is okay, but she's no Scooter. Given Scooter's VA had to leave it makes some sense that she would fill the void in his stead, but it might have been better with a second character sharing the mechanical duties to give more back-and-forth (and possibly funnier) material.
At least Marcus is Marcus and Moxxi is Moxxi, I guess. I just think by the time you left Pandora and saw the first cutscene on the ship, it felt like the characterisation was very weak and less organic. Claptrap basically said nothing, and the way they spoke to each other felt jarring. This probably would have been the best moment to include a returning Vault Hunter like Axton, Salvador, Maya, Mordecai or Brick, where they could have appeared to assist the player in rescuing Lilith.