Logan hadn't exactly been the most heroic in his life. He had betrayed many of his own kind, too, and had even allowed himself to become entirely dark-hearted, using his skills on a team destined for evil and damnation. There was no center line with Logan. Not really with any mutant. The instinct to survive was far too great.
"It's just Logan here. Ain't a place for tha formalities. They don't exactly matter." Nobody here, other than those familiar with the team, would know they had code names. Wolverine was great when the circumstance warranted it, but Logan would do here in this world. He didn't care about all of that alias bullshit. He had come out as the Wolverine long ago, just like Stark had with Iron Man. He didn't care who knew his name. Nobody knew his true name.
"Don't blame ya for likin' it better here. More stuff ta keep ya entertained, more that's familiar." He had been so many places in his lifetime that he was adaptable anywhere. But she was young and modern, a city would suit her far better than the arctic tundra or a dying planet.
"Been doin' alright for m'self. Buildin' a gym for mutant and hero types. If yer interested in takin' out some stress now an then yer welcome ta come by an check it out. I'm keepin' it on tha low fer now, invitation only. Tryin' ta keep tha humans out." He didn't expect her to jump at the offer, that wasn't what it was about. If she came, then great. If not, then that was fine too.