Honestly, I think the major worry about Abby's character should be handled fine in the show and shouldn't be too much of an issue provided the actor is solid, which Kaitlyn is. As somebody who considers these 2 games among my favorite all time, a lot of the concerns centered around having to play through Abby's story.
Introducing the character was fine, but building an entire relationship around Joel/Ellie and then having to force the audience to play through the main antagonist in an attempt to force sympathy isn't something people enjoyed, which is entirely understandable. It's a tragic and interesting character arc, and we'll absolutely get the same backstory with Abby in the show, but I think it's definitely one of those times where it'll translate much easier through a show than a game. Transitioning between the 2 at a better pace and not just waiting to get to see the character we're there for.