Buns live in my room so I'm in here with them pretty much whenever I'm not working or sleeping (or out, but that's not too frequently, I prefer the company of my animals :lol: )
I agree with Jane, a lot of buns prefer to be firmly on the ground. Mary is my snugglebun and we often go and watch TV together and he'll just lay on my belly and face the TV! He particularly liked Desperate Housewives Wednesday, though he had a few accidents on me :lol: But as he's been poorly I let him off the hook :roll:
I've got quite a few pets, and I know that elsewhere my animals could get more handling than I have time to give them. However, many of them would be dead/pts without me - Rex, Squishy, Joey and my rat Wonky to name just a few! And although I could have rehomed them, many have special needs (usually the reason they were going to be pts - Wonky is extremely vicious and has a headtilt, is intolerant to certain foods and doesn't like other rats, Rex and Squishy had malloclusion of the incisors and Squishy has bad molars) and the only foolproof way I can guarantee they'll be catered to is to keep them myself! So whilst they may not get loads of handling, they have large cages (soon to be even larger), a huge run to go out in, company (when they want it!). the best food I can give and vet care (and my wages!) on tap.
I think the handling aspect can be overrated - yes, I don't have time to handle every animal of mine for hours every day, but a lot of them don't WANT it - they'll tolerate a 5 minute cuddle then want to be running around. They don't get ignored, and they get healthchecks and everything else and that's more important to me than forcing unwanted cuddles on them just because it's what is supposed to be 'right'. You know your bun's needs and wants far more than anyone else.