Skyler is nothing if not a strong-willed woman. It's only because Walter is in so deep with his crooked activities when she discovers his double life that he's eventually able to convince her — very begrudgingly — to become complicit, purchasing a car wash with him to launder the stacks of meth money. Even then, she seems to be constantly on the lookout for a potential way out, an edge she could gain over Walter that would allow her to extricate herself from the situation.
Ted could have given her that even before she became involved in Walter's "business." He was basically willing to do whatever it would take to whisk her away from her married life, for a simple reason: he was completely smitten with her. For as big a game as Walter continually talked about his family being the only thing that mattered to him, he put Skyler through hell throughout the entirety of Breaking Bad's run, and he did it unapologetically. Heck, he even admitted in the series finale that cooking meth had never been about his family; it had always been about him, and the money, power, and respect that his activities afforded him.
Ted, on the other hand, was... well, a pushover. He would have happily let Skyler call every last shot in their relationship and his life, up to and including the handling of his massive IRS debt. You'll remember that during Breaking Bad's fifth season, in order to avoid bringing legal scrutiny on herself, Skyler arranged for Ted to "inherit" a huge sum of cash that happened to be just the amount needed to pay off the IRS — which Ted then refused to do (yet another reason to hate the guy). Had Skyler been in a relationship with him at that time, he almost certainly wouldn't have been so obstinate — for, unlike Walter, Ted sure seems like the kind of guy who would have been willing to do literally anything in order to keep Skyler happy.
