John was also furious with Jann Wenner, the editor/publisher of Rolling Stone, for publishing this interview at all- he insisted he'd told Wenner that the whole thing was "off the record".
Also, if the Beatles actually hated the Stones, John and Paul wouldn't have written "I Wanna Be Your Man" for them, and John wouldn't have co-starred with the Stones in the "Rock And Roll Circus movie that was filmed in late 1968 and then withheld from release until 1996.