The Beretta and the SIG were the only two to pass the tests. Interestingly the original ones by the Air Force and the later ones by the Army all came to the same conclusion.
Beretta won the contract because they made a better offer.
I have seen photos of German Waffen SS men carrying the Browning Hi-Power. I have also read that it was a favorite of theirs.
The picture that you probably saw was from the Battle of the Bulge. This man was in Kampfgruppe Hansen of the 2nd Company, I./SS-Pz.Gren.Rgt 1. His name is Walter Armbrusch, and he possesed the rank of SS-Schütze as an MG-42 gunner. Here he is seen after a successful attack on an Allied reconnaisance convy, with gear obtained from it. The picture is taken during the early days the Battle of the Bulge.
The pistol was probably captured, but perhaps not from the 14th Cavalry Group whose vehicles are in the pictures.