i am pretty sure she had her baby with her on one of her recent trips, i remember her commenting on him being there. maybe, the breakup was acrimonious, but i agree there are two sides to every story. she has a clothing line and i assume that is the extent of her credentials for the judging role on that model show. as for her working for simon, she never stopped working on his shows.
while she wasn't working on "x factor", she still worked on "austrailia`s got talent".