The E had plenty of character, especially in Nemesis.
We will just have to agree to disagree I think.

In First Contact, Insurrection
and Nemesis, I've just never "felt" it had any character, I'm afraid. It's a weak connect for me.
That Picard was so nonchalant about blowing her up after only a year of service was fairly jarring for me. Yes, I get that it was integral to the mission to defeating the Borg, but he never really gave it a second thought once he was convinced and even kind of joked about it. Contrast that to TSFS, when Kirk is genuinely saddened by the realization of what he did to his old girl, even asking Bones, "What have I done?"
If the ship is a character and you're about to kill off a character from your team, at least have some kind of remorse about it.
(Oddly, Picard acted the same way when the E-D went down, even tossing aside a priceless archaeological artifact. He's had that ship, the pride and joy of Starfleet, for 7 years. These things are big, serve important strategic functions, have saved your lives every other week, and has been home to you, your crew, and their families that whole time. Some sentimental value must be expected.)