Guinea pigs much prefer being cuddled to rabbits, dont need vaccinations or neutering either. Because with rabbits you have no garentee they will like it.
On occaison you do get some which do like it, however i would recommend going to a rabbit rescue because they can match you up with a bunny that is a softie and likes to be stroked, its not like if you get a baby bun you can bring it up to be friendly, it doesnt work like that.
I have three, one likes being cuddled, the others dont, so i dont push it.
No i apriciate what you are saying in that a child would not do the same with their dog or cat, but the common problem i see working with rescues is the rabbit is bought for the child to be the sole carer of, which longterm is not really a good solution. My cousins have bunnies and they have an aviary set up and they go in and sit with them and make them toys out of loo rolls stuffed with hay (they go mad for it) and its a good set up, so im not being one of those people who say "kids cant have pets" - im not honestly.
I just mean go into it with an open mind and dont be fooled into thinking they are easy pets, because theyre not. Theyre lovely and very enjoyable, but little monkeys!
Most bunnies love to have noserubs youre right, all of mine do. I think the best way to bond with a bunny is to sit down with them and give them nose rubs as opposed to cuddling them.
But Im not deliberatly out there trying to change peoples minds about getting bunnies I just want to put what I know out there, which is years of experience with rescues, rabbit welfare, I really encourage you to go to that youtube channel and find the link for the e magazine, it is such a good read and you will learn so much.
good luck with your new additions, i am sorry if i offended.