Poor little guy. Hope he's doing ok. They usually don't intubate rabbits for neuters because rabbits "are hard to tube". I can't say I've ever intubated anything, but it sounds like laziness to me. In any case, rabbit tissues are not as strong as dog or cat tissues, and they tear more easily, which is part of why they don't tube them as often. They also have a very strong flight response, so sometimes when they are trying to put the tube in, the bunny jerks away and that causes puncture of the airways with the tube they're trying to put in there. They probably just used a mask and injectible anesthesia for his neuter. This is commonly done with cat neuters as well--just injectible and mask if needed.
I am glad the vet is going to help. It sounds like he can probably get the bunny to the point where he will be able to eat, at least softened pellets or Critical Care. Those front teeth sound gnarly so best to remove them.
I am a bit curious about the calcivirus vaccination you mentioned. It is not common to vaccinate for calci in the US for rabbits. It is common in the UK and Europe, and desirable in Australia/New Zealand due to the wild rabbits carrying diseases there. Is the feline one the same as the rabbit one? What vaccine was the vet going to use? As far as I know, there are no vaccines for calcivirus available in the US.
Also, for future reference, giving rabbits sub-q fluids is just like giving them to a cat. Of course you do have to find somewhere to put them, and the flank or shoulder is preferred over the scruff.