Yes, I prefer to go really privately too. I live alone and am okay that way, but if ever I get guests staying overnight, I will definitely use the downstairs toilet near my back door, and always wait until they are upstairs at the time! There was one time I heard them coming and going up and down the stairs. I didn't know where they were going to be at any moment, and I just ducked out of the whole house, took my toilet roll, a little garden trowel, a small bag, and some wet wipes into the back field and pooped under the big trees there!! All the paper/wet wipe debris was collected up in the bag and burned on a bonfire as soon as they had gone home again. And my little hole in the earth was filled in , cat-style. I was much happier that way, alone and remotely doing my business! haha
But what a fuss -hey?