An iota of a sentence

It seems that Hazel Blears' loyalty to Tony Blair may have been to the leader than the man himself. The BBC reports today that

In a speech to constituents in Salford, Ms Blears told ministers to "get a grip" and stop jockeying to replace Gordon Brown when he steps down.

Presumably Blears made sure that the speech got reported to the ministers who are not constituents of hers.

The BBC's article includes a sentence that goes even further than the usual practice of dropping the word "that" and is consequently even more mangled:

It comes as Harriet Harman insisted there was "not an iota of truth" she was positioning for the top job.

Presumably, that should read:

It comes as Harriet Harman insisted [that] there was "not an iota of truth" [in claims] [that] she was positioning for the top job.

.