Well, they also made it sound like that Camilla would not be HRH The Princess of Wales, but Duchess of Cornwall when marrying Prince Charles. When MP's questioned whether the marriage would be morganatic, it was only then made clear by the PM and the Prince that she WOULD be Princess of Wales automatically, but had chosen to be known as Duchess of Cornwall instead (obviously with the Queen's approval).
It was made clear upon further questioning of Parliament that Camilla WOULD NOT be HRH Princess Consort without legislation being introduced to allow her to do so. The Lord Chancellor stated legally Camilla would be Queen Consort when Charles ascended the throne, however, the matter of legislation may have to be considered when the time came if she wished to be Princess Consort instead.
Right now, Camilla is HRH The Princess of Wales, but permitted by the Sovereign to be known as HRH The Duchess of Cornwall instead. Without legislation, she will be Queen Camilla if Charles ascends the throne. Will a future Government allow Charles, as King, to issue a royal warrant granting Camilla the style and title of HRH the Princess Consort when in law she is already Queen Consort? This is highly unlikely and without precedent constitutionally.
Everyone in the current Government knows Camilla will be Queen Consort. They're just hoping the matter will be a non-issue by the time Charles ascends the throne. I also think there is consensus that the Queen may be the last of the true monarchs of the UK, and by the time a King Charles III ascends, the crown will be reduced even further to a mere symbol of the past, with an elected head of state.