It's important to realize that 1956 was only the third time the Hugo Awards had been presented. The 1954 Worldcon didn't present them after 1953 ran them. The Awards could easily have been a "one-off" thing had 1955 not decided to present them again, and 1956 continued them. However, in those far-off days, there wasn't a long document listing the rules for the Awards. The members didn't make the rules through the Business Meeting. It was all made up on the fly by the individual Worldcon committees, who as far as I can see could do as they pleased subject only to their own scruples and how they thought they'd be treated by their fellow fans. Thus you end up with variable-length finalist lists (and no indication of how a work/person made the short list), write-in votes, first-past-the-post voting, and (if rumors I recall reading can be trusted), cases where "close enough" was enough to generate a "tie." I don't know if that tie in Best Fanzine is "real" or not, and it's quite possible that we'll never know for sure.
As time has gone on, Worldcon's model for running the Hugo Awards has evolved considerable, to the model today where the rules are specified by the members through the WSFS Business Meeting, and the Administrators are expected to release just about every piece of information other than the raw ballots themselves. This is pretty consistent with an assumption that runs throughout the structure of WSFS, which is "I trust nobody but thee and me — and I'm none too sure of thee." We cede the bare minimum necessary to keep the organization running, and deeply distrust all central authority. This structure seems crazy to many people, and yet it has lasted for more than 75 years.