I have had several bunnies throughout my life time (I live on a large acreage) and I have found them to be great pets - however, in my opinion, they do require more 'attention'.
It does take them a lot longer to trust you and get used to you - especially if they're adopted. Bunnies also tend to be quite territorial, and one of my bunnies, Coco, could not stand new scents in her cage, be it washed blankets or new bowls. She also didn't like to be picked up and held. Also, some people have bunnies as inside pets (litter trained) which is fine, but if they are caged, you really need to make sure they have a lot of room. They need enough room to run, as well as hop, so they need more room than piggies - especially for larger breeds. I used to have indoor bunnies, and they smelt a lot more than my piggies do!
They do become acustomed to you though and respond to their name being called, and if provided with a proper living environment can be amazingly good, loyal pets.
As previously said, I can't speak for 'all rabbits' - but I have had 4 in my life time and I have also had 4 piggies and personally I find bunnies usually require more time and constant persistance. All of the piggies I have had love being held, especially with a strawberry in their mouth

. My piggies don't really complain - they love new things and are very playful.
That's just my personal experience though!