Absolutely. The precise thing that matters is the probability tigers happen if you don't use the pills. So, say, I wouldn't recommend doing the experiment if you live in areas with high densities of tigers (which you do if there's one showing up every day!) and you weren't sure what was going into the pills (tiger poison?), but would recommend doing the experiment if you lived in London and knew that the pills were just sugar.

Similarly, I'm more likely to just go for a herbal remedy that hasn't had scientific testing, but has lots of anecdotal evidence for lack of side-effects, than a homeopathic remedy with the same amount of recommendation.