I work at the Performing Arts Library, with the Theatre on Film and Tape Archive (TOFT). It’s not correct to say the archive “passes” on jukebox musicals, or any other kind of stage show. All sorts of shows are considered for archival tapings (musicals, dramas, avant-garde pieces, puppet shows, etc.) However, as others have suggested, other factors are involved in what does and does not get recorded. First, there are specific criteria: if a stage work was created by a notable playwright, composer, or director; if it’s historically or socially relevant or worthy; if it’s an award winner (whether a Pulitzer, a Tony, a Lortel Award winner, or whatever else), etc., then it will be considered for the archive.
But it’s also worth pointing out that the money is a huge factor. Funding isn’t always available to tape a desired show. Musicals are especially expensive. When TOFT lacks a famous title, it’s not because “they passed on it.” It’s usually because the archive didn’t have the money. And in some instances, producers or creatives don’t want their show taped. Bob Fosse always turned TOFT down because he didn’t feel any one video could capture the essence of a show. That’s why TOFT lacks videos of the shows he created during his lifetime. Another example: the creative team behind Hamilton chose to finance their own video (the one shown on Disney+), which is why TOFT lacks its own, unique videorecording of Hamilton.
One other, fairly minor point: the archive is called the Theatre on Film and Tape Archive. Most people call it “Lincoln Center Video Archive,” or something like that, but Lincoln Center is not part of the name. It’s easier to google when you use the correct term. There’s a good Wikipedia entry under Theatre on Film and Tape Archive.