Okay, so there seems to be some confusion here. Shitting ain't excreting. Not the same thing, sorry.
Basically your asking if i'd rather lose my sleep (which i love. Acts as a great constant meditative point in my day and makes me emotionally centered) or if i would never need my liver to process anything in my body ever again (ie: i wouldn't ever have to worry about my blood or how alcohol is handled in my system). Honestly, Peeing is annoying. Being able to drink whatever I want and never having to worry is a great plus imo. My mental state (and many others i'd imagine) wouldn't be able to handle no sleep regardless of if we were physically fine.
Hence my answer is to keep sleep and forgo excreting.