The White Album was an extremely eclectic work made by a disunified group whose members were drifting apart. Certainly, some of the Beatles may have objected to John including Revolution 9 on the album, but then John could have counteracted by trying to veto album tracks submitted by the other Beatles. Just about the only thing that united the Beatles during the making of the White Album was their insistence that the White Album had to be a double album.
George Harrison didn't object to including Revolution 9 on the album, because Lennon included some of his vocals on the track. Ringo wasn't going to object to Revolution 9 if it would have jeopardized the inclusion of his first solo composition, Don’t Pass Me By, on the album. Paul could have objected to Revolution 9 being included on the album, but Paul wasn't in the studio when the track was recorded. In addition, Paul had done his own experimental compositions, such as the unreleased Carnival Of Light, which meant that he wasn't automatically opposed to doing experimental work, although it bothered him that John got more credit than he did for introducing musical innovations to the group. The other Beatles didn't necessarily like Revolution 9 as a wholly isolated work, but they were all in agreement that the White Album was to be a wide-ranging double album. Since Revolution 9 was needed to fill out Side 4 of an ambitious double album project, Revolution 9 stayed in. Besides, can you imagine what the fights would have been if the Beatles actually had to limit the songs on the White Album to a single LP? The group might have broken up two years ahead of schedule. Even George Martin, who was never that crazy about Revolution 9, wasn't necessarily going to dig in his heels on that one.