No I don't - if you do you just end up with stinky sawdust that needs burying to keep the smell at bay. If it's just liquid pee, then it will pour *into* the
compost heap and the smell (and nitrogen) stays in the heap.
I also use it on
mulch around plants to keep critters away, but I'd still rather pour it on rather than try to mulch with pissy sawdust.
On a related note, I did experiment with a 'pee-bale' when we had a male
wwoofer. Never again - it was the most revolting
job dealing with that quantity of wet stinky
straw, and it was heavy, too. Give me a bucket any day!