For me it depends on the project itself. A cartoon's animation should be whatever type that particular story calls for. If it's something like Charlie Brown or Schoolhouse Rock, where it's simplicity is part of it's charm, then obviously that wouldn't be done in CGI. I personally don't have a problem with CG as long as it's good CG. It's a common misconception that CGI will eventually replace all hand drawn animation, when in truth, CG is just another art form and another way of telling a story. Traditional hand drawn animation isn't going anywhere.
Generally, I try to judge an animated series or movie by the quality of it's content, not by the way that it's animated.