I like and respect Chelsea, too, but I just don't think it's her style to slyly insult someone and embarrass them in front of others. Seeing her responses to haters on SM, she's always polite, poised, and pure class in how she responds. It's why I don't think she would do well as a permanent co-host . . . not that I think she would ever even consider the job. Also, Meghan is always incredibly thin-skinned and sees slights where they don't exist. Meghan did not react negatively.
Personally, I got the impression that Chelsea and Abby had already had this type of discussion back stage, or at a previous time, and that's why Chelsea only mentioned Abby.