I go back and forth. Sometimes I want to recreate my favorite characters, with the names which fit so well and the same powersets (maybe a different Primary or Secondary here or there, maybe a few different power choices, maybe different slot assignment and different Sets to be slotted) to go with the character concepts.
At other times, I feel like that would be treading old ground. Sure, I'd gravitate to powersets that I really enjoyed, but mix 'em up with new ones I haven't really tried yet or that I think might work well together. Come up with new character concepts and looks to keep it fresh for me. Maybe I'd keep (some of) my old names; maybe I'd come up with completely new ones. Most likely I'd do some of both.
I do know that I wouldn't want to recreate the exact same character(s), changing nothing. I believe that'd get boring fairly quickly. Whenever we get to take to the skies again, I'll be looking for the fun first, instead of obstinately clinging to things that brought me fun in another game. Because, as someone mentioned earlier (paraphrased), bringing back City of Heroes Issue 23 will still not be the same game as it was before. Our community as a whole took a huge blow 2 years ago, and that's going to affect the way we play, in large and small ways, and the way we interact. Stretching the point a bit, you can get back together with your ex, but even if they're the same, you're now a different person than you were then.
/ramble