The Brits did that about the time King James died with the result that all the early records of the Virginia colony ended up in London in a fire. They did it again in 1676/77 when the independent proprietorships, et al, in America were turned into Crown Colonies. The Brits also snuck their records out of New York, Boston, Philadelphia and Charleston during the Revolution. In 1814 they tried to burn whatever remaind of them by burning Washington DC. Later on when the border between the US and Canada was "set in stone" the Brits took everything, including land survey records, from all the parts South of today's border that they had to give up. This really screwed people living in Western New York. To do a perfect land title search you have to finish the job up in Ottowa (if you're lucky).
I really don't think they changed their act in 300 years!
It is positive that the Brits managed East Africa because there were good civil records.
Do you suppose those records (marriage, divorce, and birth) were shipped back at the end of the Brit occupation? I know lawyers in London--investigation would be easier and cheaper there than in Kenya. And further, less subject to interference from Kenya government employees and agents who may well view it as adverse that an effort is under way to disqualify a Kenya native born.
Note that the purported acquisition of the birth records reported in the Wayne Madsen update occurred in Kenya.