I do think it was about the skating in end. We don't know who the judges preferred or what they had in mind as the default pecking order if all things were equal, but we do know that Tara had the best skate of her life at Nagano; that perception being supported by the fact that she skated levels better than she had all season though she did win the GPF, she wasn't at her peak at Nationals, had exceeded the effervescence she had at 1997 Worlds LP, attacked the program, and did a 3/3 with both of them being loops and a 3/1/3 at the end. Bezic also composed that LP well. Even as a Kwan fan who would have given her the 1st place ordinal, I know that the judges went with what they saw that night.
Now, as to that bronze medal fight... things just fell into place with those ordinals being as mixed as it was between Lu, Irina, and Maria. Maria had four 3rd place votes (Russia, Ukraine, Poland, France) and four fifth place votes (Australia, Hungary, Austria, and U.S.) meaning that only one judge (Germany) placed her where she ended up in the LP. Lu Chen had five 4th place votes and one 5th place vote (Russia... are you surprised?) meaning that only three judges (Australia, Austria, and Germany) wanted her to medal. The majority of the judges had Irina placing higher than the 5th place she ended up (two 3rd place and three 4th places). It was kinda wild.
None of the judges ranked the top 5 in the order of the eventual LP placement order.