I would think if the liquid can get into the soil that's enough, although in cold weather you might save some processing and just mulch with solids, and let the winter and spring weather break it down over time instead. Now as spring comes along the mulch with also insulate the soil from warming up as fast, so if the ground is frozen under the mulch maybe pull it back a bit till the soil warms up, then put it back.
I'm not quite a lumberjack, but that's OK, I sleep all night and I dream all day; I'll coppice trees, I'll grow my food, and compost poo and pee! With a well and off-grid solar, it's a permies life for me! https://www.youtube.com/watch?v=FshU58nI0Ts