I do find Lorikeets to be beautiful and I have heard from many they can be playful and cuddly. Are they loud birds? And as you already stated their downside is their special diet requirements that makes their poop come out liquid like.
I've seen lorikeets in cages at bird shops wrestling on the floor of the cage. I was really taken by some scaley-breasted/rainbow hybrids once, but fairly expensive ($250 each, from memory) and I'd been put off by stories of their "squirtiness". In the end we got a rainbow- he's kept on the verandah though where the mess doesn't matter so much. The food isn't a big deal- our guy gets a weak honey mix (in lieu of the very expensive pollen mix not available in the outback) and the lori dry mix which is changed daily- only a heaped teaspoon of that. He also eats seed, mainly sunflower, and fruit, usually apple.
If kept in a cage inside, one needs to hang plastic or paper on walls and around the cage. It's not that bad- the poo is quite easy to clean off unlike semi-dried eccy poo which requires a water-blaster
As for noise, our guy, Coco, has a fairly loud shrieky whistle but not unpleasant unless he's on the shoulder

He makes all sorts of noises when playing, it's nice to be able hear your bird enjoying himself when playing. If I've been away a few days he goes nuts when I return, nearly "wetting himself" with excitement at having a play again. Coco has a habit which my wife finds annoying and that is, he grabs the web of the thumb with his beak- not biting and I don't find it painful at all... but my wife is a wuss when it comes to pain. He does this while on his back in my palm. He also likes climbing into my shirt pockets and trying to pull what's in there, out
Coco also talks (not very clearly) and wolf whistles. I've seen another lori ( a red-collared, which is a sub-species of rainbow) who loves to dance... while saying "Jasper dance... Jasper dance" and without music- just showing off. Looks more like a North Korean marching though...