Professional environmental microbiologist here...
Urea in urine will break down to ammonium ions (and ammonia gas, thus the volatilization and smell) - and some of this will be nitrified to nitrate by aerobic bacteria and archaea (ammonia oxidizers or nitrifiers, coupled with nitrite oxidizers or nitrosifiers). These 'guilds' of microbes (in the traditional ecological science sense of the word 'guild') work together to turn that ammonia/um (NH3/NH4+) to nitrate (NO3-). Nitrite or nitrate itself doesn't stink, but these organisms need oxygen to do this! Once the oxygen is gone, the ammonia will mostly just be taken up directly by cells (immobilization) into biomass. If anaerobic, this will be slow.
Also, any nitrate produced by the nitrification when there -WAS- oxygen around (and there is always at least some, unless you are in a hermetically sealed chamber with the O2 scrubbed out intentionally) is going to be food for denitrifiers, another guild of bacteria that complete the nitrogen cycle, thus turning that nitrate back into ammonia (stink) or gases (unusable by plants) - namely N2 which is 79% of our atmosphere, NO (reactive, creates acid rain) and N2O (laughing gas, but 300x times as potent a greenhouse gas as carbon dioxide).
So, in general, I would discourage trying to cultivate an anaerobic chamber for the urine - you'll lose N, it will still be stinky, and it would be more 'pollution' than if you were to keep it aerobic. Plus, unless your holding tank was tall and skinny, it might need a fair amount of oil (the gasses would still bubble up out of it). The slurry would also get acidic over time (start off going alkaline up to pH9, but over time, then drops to pH < 3). I guess aside from scaling up a p-trap for leaching (probably my favorite option), one could do some active sawdust composting (i've done this with some success), but this is labor intensive, requires constant input of raw materials, and is still kind of stinky. But you'd avoid making an acidic substrate, the compost would retain the highest amounts of N per volume of urine treated (although subsequently diluted by the sawdust component), and you'd keep down the greenhouse gas production.
My gears have turned on this for a bit from time-to-time over the years, and I would love to hear what you come up with!
(edited for spelling)