You say "he said that he did not even know the man was there before the shot" and then claim you "always felt it was posed" and that "have never read or seen anything to make me think differently". So are you claiming that HCB was lying about not seeing the man and his luck in getting the shot? Because if his statement is true, how could it be posed? I've not read anything to suggest it was and why are we so cynical to assume that HCB was lying about the photograph?
I have never seen or heard anything to make me think differently and I have seen the HCB interview.
The photograph is nothing without the jumping man (IMHO). So yes, I really do have difficulty in believing that he (HCB) suddenly decided to poke his lens through a gap in the fence to take a picture of nothing in particular, where he couldn't even use the viewfinder, and some random man just happened to decide at that split second to jump from the trellis (or whatever it is) straight into the middle of a puddle (try asking yourself, why?). And he got the perfect outcome i.e. could that picture really be improved from what it is? One of the greatest ever street photographs - again, just my opinion
HCB saying he was just lucky could be (and in my opinion, is) false modesty. I rather believe that this was a very well set-up picture - it is just my opinion, I have no evidence to support my opinion but I have seen a lot of HCB's other work. He was not some 'happy-clicker' he was a great photographer.