I think where folks are getting mixed up on this

is whether rabbit poo, or the sum total of rabbit waste, is safe to use immediately. Rabbit pellets, the solid manure, IS safe to use right away. It has nearly ideal 30:1 C:N ratios and will not burn plants. However, most rabbit cages allow both manure and urine to collect together. That’s where the strong ammonia smell would come from (it’s not coming from the manure) and that’s where the C:N ratio would be so high that it would burn plants. There are some cage systems that separate out those two waste streams such that the poo can be used right away, and the urine is channeled off to be thinned out with water or something like woodchips. So it depends on how the bunnies are set up.
Robin, I’m intrigued with your comment that you have a lousy climate for composting. When set up correctly, climate doesn’t really matter. Folks are composting from Alaska to the high Colo Rockies to the deserts to Hawaii. If you’d like some ideas for how to start composting, I’m sure there’s a way to do it. Just sayin’……