I was 14 and 15 when the Jazz lost those two finals, and maybe that's part of the reason why it still hurts all these years later.
And the most ridiculous thing 20+ years after is not just how close the Jazz were, but how any trade that even moved the needle slightly would've won a championship, but the Jazz just never made it. The Jazz actually never made a trade during those two seasons. This is actually ludicrous from a team so close to a title.
During the whole 97-98 season, the Jazz only made two moves: signing William Cunningham and Troy Hudson, then cutting them both long before playoffs started. The season before, the Jazz signed Stephen Howard and Ruben Nembhard. In August 1996, the Jazz traded Felton Spencer for two players who would be cut by the second week of season(and Andrei Kirilenko, but no one knew that at the time). In two years, the Jazz made no trades whatsoever and signed 4 players who would've struggled to start on a G-League team.
Ridiculously, the Jazz also made no trades in the 95-96 season. The last trade that netted the Jazz anyone who would actually play in the 1998 NBA Finals happened in September of 1994. Think about that. 4 years! Four years during which the Jazz won 60, 55, 64, and 62 games and were a dead-serious contender and the front office couldn't pull off one trade. Yes, I know about Harper and Seikaly and all that. But 4 years, and the best the Jazz could do was trade Spencer for a pick. I know the Jazz were by no means loaded with talent or other trade bait, but Chris Morris had a big expiring contract. The Jazz owned their own FRP from '96 to 2002. None of that could've been traded for anything?