Well, some of those examples do merit asterisks. (For that matter, there are dozens of other examples of the Stones following in the Beatles' footsteps I didn't feel like digging up at the moment.)
1) The cover of "The Beatles" (the 'White Album,') was also, according to various accounts, censored -- some of the original concepts included the band members appearing in various stages of nakedness, bits of which survived as part of the photo collage on the fold-up poster inside the album, which included naked (and censored) photos of John and Paul. As album release time drew near, EMI honchos let the word go down they weren't releasing a nude album cover, even of the Beatles, and the middle-of-the-road instincts of Paul, George and Ringo took over.
2) The Beatles and Stones hung out together, often dropping in on each others' sessions. The Stones certainly knew that "Let It Be" was likely to be released as a big hit out of the "Get Back" sessions -- they couldn't have not realized that the title similarities wouldn't be picked up and much commented-upon.
3) "We Love You" is one of the Beatles' takeoffs the Stones never denied -- it was recorded in the couple weeks following the Beatles "All You Need Is Love" TV appearance, with good vibes and friendly feelings surrounding the Fab Four, and at the same time the Stones were facing prison sentences resulting from their setup drug busts by the infamous Sgt. Norman Pilcher, so "We Love You," with the sound effects of slamming jail cells at the opening, was intended as an anti-establishment ****-you companion/sequel/ answer to "All You Need Is Love." Lennon and McCartney added the Beatles' endorsement by singing backup on "We Love You," just as Mick and Keith appeared and sang in the chorus for the live-broadcast TV version of "All You Need Is Love."
4) "As Tears Go By" is even almost identical to "Yesterday" in lyric matter -- a lonely (self-pitying) guy thinking how wonderful things used to be.
Thing is, by pointing all this stuff out, I'm not saying the Stones sucked or never came up with anything original. They were great, one of the top four or five bands ever. But when they were both active, there was never any question who was leading the way.