Desert resources are quite different than the forest back east that I grew up in. I could get by without the TP if there was a creek, or nice fat leaves. Many places require burying and I have had my nose offended many times by the gentle bouquet left from others. Depending on the season, a shallow burial is sufficient because wet things dry up and disappear in a couple days or a tad more. The stake that I dig with weights one ounce:
http://www.rei.com/product/845328/rei-snow-stakeThe small partial roll of TP is nothing to carry. There are no broad leaves here as most plants have small leaves for the heat. Then there is that thing about prickers and survival around here. Sticking sand up there to clean is funky. The grit stays, and you will end up with a disgusting hand. There are seldom creeks, or water and many, no...most of these are dangerous because of the cattle. The stuff doesn't just dry and flake off, it sticks around in the enclosed area. It is not inviting to my companion to smell that, nor to me when I squat, I smell myself. I don't like that. Most of the hunter gatherers around here lived near water sources and 95% (or 92, or 98%, I forget right now) of these are gone due to ground water wells for towns, but mostly cattle. It just ain't the same place, so here, we can't compare with the ancients. The natives, we are pretty sure, around here, were generally totally naked but for ornament, and reed huaraches. TP is little inconvenience compared to the alternatives, so carrying 25% or less of a roll is nothing. I'll stick with this luxury. In a more deciduous area, I see your point, but personally, I wouldn't use the leaf thing without a supplementary creek source to bathe. There is also my lack of familiarity with forest flora.
The TP is also for injury, cleaning, and a band-aide in conjunction with duct-tape, which has many other uses. It also helps with other orifices, like nose blowing. Girls like a wipe after a pee, too.
The water drops are something I carry backpacking as a supplement when the only water might be disgusting and use them after a filter. with pills etc., you have to wait, most water is cleaned nearly as well with a filter, and chemicals taste crappy. I have a 10 ounce pump filter that I use for convenience, but I carry one of the newer Sawyer filters, which weights only 2 ounces and fits in my fist ($25):
https://sawyer.com/products/sawyer-mini-filter/ 1974, I'm driving on a dirt road in the remote Sierra Nevada Mountains after dropping off a pal near his illicit pot farm. There in the middle of the road, I see a Swiss-like knife. I clean it up, fish scales and mud with a dab of rust and I have a great knife. I built a macrame strap on it, and still have it. I carried all over South America, a great knife. Just a piece of decor broken off when someone ran over it 40 some years ago when I rescued this friend. Like you, I'm sure I have used that cork screw more than any part of it. They are quickest to get to, they pry well, and then there was a whole lot of wine corks
Jbee