Yes, such a travesty did and worse in some places exists still. However, when the practice of relieving oneself in an area designated for that purpose outside the village for public in general, there was no one cleaning it up, it was left to nature. Ironicaly, The job of toilet cleaning started to exist only when the toilets moved closer and closer to home.
No, we still do not clean up after us and even today whether we like it or not there are still people in all countries throughout the world who are engaged in the waste disposal industry. Guys who collect garbage at your home every morning, still don't really enjoy it whether they come walking, on tri-cycle or in a ultra modern garbage truck and it is the practice in the best of societies today. Collecting decomposing organic waste of any nature is bad experience for anyone.