That's a great point. I too sweat like a pig. When I hike in the east, my hiking clothes are rarely dry. But, that's life.
For me, I need about 3 litres to dry camp. I like to drink roughly a litre over the first 30 or 45 minutes after getting to my campsite because my body is usually short water. I require about 1 litre to make supper (and I usually eat/drink all of that litre, either in the food that I've made or in the "dishwater" that I drink after supper). And, over the course of the night and in the morning, I usually drink a litre of water. During the night, when I wake up, I take a good sip of water and then go back to sleep. That process requires a good half-litre. When I awake, I am usually reasonably well hydrated and ready to start my day. I don't mind hiking the first 3 or 4 miles in the morning without water. It's cool and I'm hydrated, so it's no biggie.
On a few occasions, I've passed a thirsty night. That really sucks. Last summer I was stupid enough to leave town with only 1 litre and I climbed probaby 2,000 feet onto a ridge with no water. It started raining and my legs were tired, so I made camp with only a half-litre. It was a crappy night and I was happy to find a stream a couple miles later the next morning. On other occasions, I've spent a couple of thirsty nights in the desert, but it certainly wasn't fun.