I thought you were peeing into the kitty litter for soaking and smell purposes. Fair enough, it's a plastic jug and the fact that kitty litter is involved is unrelated.

I mentioned char because it will cut the smell down some which I thought was related to smell issues.

Many years ago, I built a camp toilet for the ladies that was 2 buckets stacked on top of each other. The top bucket had holes drilled through and a 1/3rd full of biochar and a 5gal toilet lid attachment. The pee went through biochar and dropped into lower bucket and would cut the smell entirely. The top section would go for a week and you could unstack the buckets and tip the pee. The lower bucket also had char in it so the top bucket with the weight of a person wouldn't stick the 2 buckets together, this layer was dumped with the pee.

Well made char is estimated to lock carbon away for hundreds to thousands of years. It doesn't break down with regular biological methods.