It wasn't "pretty standard practice". It was what was issued. FBI agents use what they are directed to and the .38 Spec. +P LHP was the issued round of the day for the Smith and Wesson model 13, which was the standard issue weapon.
Sorry to get yer knickers in a knot, CY. It was "pretty standard practice" in a lot of agencies to allow officers/agents to qualify with and carry on duty either 38 Special or 357 Magnum. If I was mistaken, I'll check my sources when I get home tonight and confirm. I seem to recall fairly clearly that while 38 Special +P loads were issued to FBI agents at that time, 357 Magnum loads were issued as well. As I said, I'll confirm and report back.