In 1963 Bush released Mk.II versions of the TR82C and TR82D with a new chassis which also made use of the improved Mullard AF11x series transistors, the existing colour schemes of both models being retained.
Presumably the earlier headphone modification for the TR82C and TR82D was either a way of using up existing stocks of the earlier chassis or used simply as a stop-gap measure until Bush was ready to release the Mk.II models.
Whatever the reason was, it made the sets with the modified chassis relatively short lived and they are fairly scarce in number.