Good question...and one I can't really answer
I don't know much about goats, so can't compare them to rabbits, but proper bloat in rabbits usually happens very quickly, and the rabbit is usually dead within the day unless medical attention is sought very quickly. Luckily bloat in rabbits is pretty rare.
Because rabbits don't belch, the gas tends to build up in the stomach. It is sometimes possible for a vet to insert a tube into the throat to release the gas, but it's a very delicate procedure and runs the risk of damaging the rabbit's oesophagus.
Bloat is often confused with regular stasis, but it happens much more quickly. This article explains the difference between the conditions: