I'm in the bowl team. Rabbits drink more from them and the position bunnies have to take to drink from a bottle is completely unnatural, not even speaking about the fact that it delivers a drop at a time (can you imagine how frustrating drinking like that must be?). Bottles can leak or, worse, get stuck and not deliver any water. They are also hard to clean thoroughly, especially the metal part which can lead to bacteria developping. I think the house rabbit society has an article about it somewhere on their website.
Most arguments in favor of the bottle are that rabbits will make a mess or spill the water with a bowl. I've had a bowl for 7 years for 3 different rabbits and spilling never happened. Sometimes there is a small piece of vegetable or a blade of hay in it in the morning but you have to rinse and fill every morning anyway (it is true that it is mandatory to rinse every morning, so it can be time consuming if you've got a lot of bunnies, which probably explains why breeders will often choose bottles).
The only real argument I see in favor of a bottle is that it holds more water than a bowl (I wouldn't risk leaving the bunnies with a really big bowl of water especially now that Aki can't see anymore) so it's better if you have to leave the rabbits alone for a few days ... but I wouldn't recommend that - when I leave for more than a day, a petsitter comes and take care of the water...