I think they might. The rest of the family seems to prefer having leaks and lies go through the tabloids. There's probably a reason for that. I can't imagine that Charles and Camilla would fare very well in an interview, especially if they couldn't dictate the questions and follow up questions. I'm not sure that the Queen would come off very well, either.
Imagine this line of questions for Charles (with Camilla present): After years of tabloid press about you cheating on Diana, the two of you divorced. She was not given security by the royal family and she was hounded relentlessly by the tabloids and was killed with the paparazzi in pursuit. Your young son, Harry, had to follow her casket while millions of people watched. Do you worry that Harry will have to do something similar with his wife and son? Do you worry that Harry himself might die? Do you think that your family has anything to do with why he isn't safe? Because you are his father and the Queen is his grandmother? Because your family trotted him out for the public since he was born? Because of the things the Firm or the Institution has said or not said to the tabloids?
Also, why is Harry hurt and unhappy with you?
Or, what do you think of your mother's advisers? Why does she need advisers to tell her whether to keep plans to see her grandson? Will those same people be your advisers when you are King? Who is really running the royal family? What is it that you think you contribute?
Or, is it true that the palace hosts parties for the tabloids? Why?
Or, do you think it is you or Harry who has done more to obtain goodwill for the monarchy?
Or, have you ever heard anyone discuss Meghan's race or Archie's race? What was said? What did you say?