You're obviously a child.
I'm 63 and was rocking to Elvis when I was five years old. I know something about rock n roll being in 3 rock bands. I already admitted that the Beatles did better arrangements, but they are not the band you hear on classic radio stations. Sorry, your boys were pop; the Stones were and always have been rock n roll, plus R&B.
No, "I [don't] Want to Hold Your Hand". I'd rather you be "Under my Thumb". Just joshing...