Your links misrepresent Flew's "conversion", and "forget" to inform the reader that Flew has since retreated from his primary reasons for pondering the existence of a "designer". And Flew has never believed in anything resembling the Christian or Muslim god, as many creationist accounts like to imply.
For a more honest and complete (and more up to date) overview of Flew's position, see: Antony Flew Considers God...Sort Of
Is Flew afraid to be labeled an agnostic?
Anyone can call himself an atheist, if he distorts the commonly accepted meaning of the word atheist
The article you linked to had links to more articles, one of which was, Sorry to Disappoint, but I'm Still an Atheist!, by Antony Flew
Those rumours speak false. I remain still what I have been now for over fifty years, a negative atheist. By this I mean that I construe the initial letter in the word 'atheist' in the way in which everyone construes the same initial letter in such words as 'atypical' and 'amoral'. For I still believe that it is impossible either to verify or to falsify - to show to be false - what David Hume in his Dialogues concerning Natural Religion happily described as "the religious hypothesis."Maybe I'd spend time reading more of Flew's writings if he would at least be honest about his position. At first glance, Flew seems to like to distort things to fit his own little universe.