To be frank that's something of a modern perspective. Abbey Road is really a rock album, through and through, it only sounds a little like MOR to a degree today because of the way our perceptions have shifted. A lot of Meatloaf's Bat Out Of Hell album sounds like bland MOR to me now, for example, but in its time it was definitely a rock album in essence.
To be even franker, most of Abbey Road is "pop" - and doesn't come close to rock. We knew it then and many were quite disappointed with the album - but knew it was down to Macca!
The Beatles' music encompassed many "styles". Comfortable toe-tapping numbers were a McCartney forte: and Road is filled with them. Shall I list them? Maxwell, Money, Bathroom, Slumbers, Weight, The End from Macca; Something from George; Octopus from Ringo; King, Mustard, Pam from John.
I s'pose you could call Oh Darling rock. Because is a pseud's song (clearly largely written by Yoko). That leaves three good 'uns: Together, Something, Here Comes.
To be even franker still, Abbey Road is well, well overrated. At the moment it's 'in' to class Pepper as overrated. In ten years, people will be saying the same about Road. Then they'll be right!