You're quite right, but there's even more to the story that might be of interest to the readers here.
The Beatles manager, Brian Epstein, died in 1967 and some time later, I think in late 1968 or very early 1969, the group decided to hire a new manager. The Rolling Stone recommended Allen Klein. John Lennon met him and convinced Ringo Starr and George Harrison to agree to let him become the group's manager. Paul McCartney had been arguing for his father-in-law, Lee Eastman, to manage the group and refused to sign the contract with Klein, although the other signatures were enough to make him the manager anyway. Apparently John, George and Ringo believed that Eastman would favor Paul's interests over the rest of the group, so that was why they rejected him. In 1971, Paul sued to dissolve the group so he could get out from under Klein's control. John, George and Ringo all eventually turned on Klein as did the Rolling Stones. Paul became quite rich under Lee Eastman, so you can judge for yourself just how "bad" he would have been to have managed the group.
Klein's relationship with George unraveled first following some mismanagement of funds from the Concert for Bangladesh. The "My Sweet Lord" plagarsm case went through the court for decades. Yes, decades. Litigation began in 1971 and finally ended in 1998. To stick it to George, because Klein was nothing if not vindictive, eventually he bought the publishing company that had successfully sued George in the plagiarism case. In 1981, the original amount of damages assessed were reduced to George because of Klein's duplicity in being George's manager at the start of the legal case and then switching sides to being on the side seeking compensation. In the end George just bought the publishing company from Klein to help bring the situation to a close.