A lot of colonies continued to employ British citizens in their government even after attaining independence. But how were these employees paid (in local currency, or in pounds)? Was it not considered a threat by the military, especially since many of them were employed by the air force and the army? In case of some military action against the wishes of the British, on which side would the loyalty of those officers expected to lie?
As an example of the huge trust placed on the British officers, the Indian Air Force continued to have a British head till 1954, before the Indian Air Marshal Subroto Mukherjee took over. The Indian Navy also had British heads until 1958, as mentioned in wikipedia. While I have only examples from India, I am assuming that this was true also for other British colonies.