Since Clelland isn't around, I'm happy to preach the Good Word.
I haven't carried any in many years now, not since I learned properly from the original publishing of Clelland's original article.
That says everything.
I'm not exaggerating- I feel that this was one of the most beneficial things I have learned through BPL. It's quite liberating, especially as a distance runner and hiker that's often out with no gear.
Honestly, what self-respecting creature or self-proclaimed outdoors person can't figure out how to hygienically poop in the woods without bring bringing stuff from home? Seems to be a real disconnect between us and nature there, civilization carrying us backwards in this regard.
The anatomy of popping a proper squat is part of the key. If done right, everything is wide open and it's a straight shot down. I do not believe people are meant to sit on porcelain thrones while crapping (but yes, I do at home). That's where half the mess we associate with crapping comes from. Perhaps I am gifted with natural ease in this department.
Rocks have always been sufficient for cleaning. Gather 5 or 6 before doing your business. If there's a little dry grass to be found, making a little whisk brush helps finish things off- but I notice that with a few rocks and a dexterous hand, there's typically nothing left by then anyway.
I rarely have to use water to wash anything but my hands after- and that's just a precaution as they don't touch anything. I believe that if done properly, going TP free is actually cleaner than smearing stuff all over yourself with a piece of paper and calling it good.
I have never, anywhere, been unable to find suitable natural materials to wipe well.
OK, maybe in the middle of endless sand dunes, but then you just wash with water and your hand and then soap up (I've always wondered, why is that gross to some to use water and a hand in the woods yet good enough for all of us in a bath or shower?). If you don't have water and you're in the sand dunes, wiping is the least of your worries.
I don't like carrying used TP either. I think burying is akin to littering, though you're just hiding it. Lighting TP fires is tedious, possibly illegal, and potentially dangerous for knuckleheads. I don't like seeing TP dug up and strewn strewn everywhere. Guess what? Only people that use TP can cause this. Maybe not you, but someone. I realize there are people that practice very ethical TP use, but I think they're in the minority.
So eat your fiber.
On a side note, Japan was the first place I've traveled/lived in which bidets are commonplace. Amazing that with our germ-phobic, anti-bacterial, sanitize everything culture in the US we're still stuck on smearing stuff around with paper and not washing.
I think the anxiety of walking around with dirty butts is what's driving the violence in this country.