I learned in another thread that fecal floats aren't a good way to measure the load for tapeworms. A positive will tell you if you have tapes, but not how many. And a negative can be a false negative. When they study the efficacy of drugs for ridding poultry of tapeworms, they typically kill the chickens at the end and manually count the tapeworms in their intestines. So, any home brew experiments for tapeworms are going to unscientific.
I don't know whether "wait and see" qualifies as a natural cure, but my own experience with chickens and tapeworms, is that they went away on their own as fall approached. I found research that suggests that chickens, as well as other animals, can acquire immunity to tapeworms and will both resist new tapeworms trying to take up residence, and expel existing tapeworms. My chickens did have free choice access to cucumbers, zucchini and butternut squash over the summer, but it's impossible for me to say if any of that made a difference.
But, I do think there is a big difference between chickens harboring a few worms that come and go as the seasons change, and an infestation where you are seeing a noticeable drop in the health of your chickens. Were I to have seen a decline in my chicken's health, I don't think I would have tried any natural cures or waited, but rather would enlisted a vet and figured out how best to treat them.
If anyone has had anything they would have described as a more serious infestation and found a natural cure, I would be very interested in hearing about it.