We could imagine cases where people underwent homeopathic treatments and saw improvements in their symptoms for other reasons. For example, colds usually stick around for 3-4 days and dissipate without treatment, so you take a homeopathic medicine and two days your cold vanishes and you think "It worked." The correlation-causation error that might seem obvious to skeptics, but it isn't to the homeopath believers.
As I interpret the Franklin quote, you provisionally accept (don't immediately and explicitly challenge) the claim that the homeopathic medicine made the cold go away, so you can establish a further dialogue with some chance (let's just say 10%) of causing doubt in the other person. If you immediately say "There is no way that the homeopathic medicine had any effect," the person will get angry at you. You'll probably have a smaller chance of changing their mind, and they won't like you, which generally doesn't help you accomplish goals.
With Franklin's approach, I think it doesn't even matter that there are no merits to a homeopaths treatments (or insert whichever group); you need to cede some ground to keep negotiations open and to get people to like you because it's helpful later.
We could even imagine cases where people underwent homeopathic treatments and saw improvements in their symptoms for that reason. The placebo effect is often a real thing, and is most effective when you don't believe what you're taking is a placebo.
If it were possible to keep homeopathy from being inexplicably muddled up with non-evidence-based naturopathy (where your treatment may have negative side effects), unfortunately mixed up with anti-"allopathy" (where you forgo a more medically-effective treatment), or inescapably tied to anti-epistemology in general, it might even be a net good on its own.
Another month has passed and here is a new rationality quotes thread. The usual rules are: