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I don't think you have the first hand knowledge or insider information concerning the overall effect of a former contestant AMIDOL appearance. While I am semi-retired, I have spent over 30 years in the industry and still keep in touch with some pretty big players. I think Kat's management team is playing this wisely and not rushing to be on the show again. Rushing into an appearance may do some short term good as far as record sales are primarily concerned, but could lead to ill long term effects. Many in the industry still consider former Idol contestants (also winners) to be bottom feeders (justified or not) and will go out of their way not to associate themselves or their services to the former contestants. The sooner Katharine is known as "Katharine McPhee, the singer" NOT "Former American Idol contestant Katharine McPhee" the better.
I doubt very seriously if Kat is waiting by the phone hoping that AMIDOL will ask her back on the show. She is a star in her own right now, and doesn't need any table scraps that they might throw her way.
I'm hoping with paws cross that Kat will make an appearance. I would perfer a solo appearance but I'm okay if Kat appears with Taylor & Chris. PLZZZZZZ AI.