My guess is that your “high bar” doesn’t have to do with the things you listed, but with your expectation that other people make decisions as rationally as you do.
Some people are right to distrust logic, not because logic itself is invalid, but because these people may not have the skill to evaluate logical arguments correctly, and recognize that they may be confused or misled by spurrious arguments. These same people may, however, have excelent instincts and intuition. This doesn’t mean that they never have solid reasons for believing things. We all remember people from algebra class who could get the right answer to almost every problem, but never knew how they got it, right? They obviously were doing the math correctly in their head, but not in a way that was accessible and articulatable to them.
This method obviously has limitations, especially in math class, where you’re required to show your work. In real life, however, it seldom matters, as no one expects you to show your work in real life.
Except for you.
In this case, your friend’s intuitions have clearly given her a wrong answer (that homeopathy works), but by trying to “prove” it to her logically, you are implicitly asking her to show her work, which she can’t do, and implying that because she can’t, her judgements (not only this one) are less valid and trustworthy than others’ (especially yours). This is insulting to her, and not necessarily true. (How often have you used faulty logic that seemed valid to you at the time? How often do you continue to do so without realizing that your beliefs are incorrect?)
Add to this the fact that her reliance on homeopathy may be influenced by other factors than its efficacy (such as a cultural identification with others who use homeopathy, a subjective feeling of taking care of herself, etc.) which may not be articulatable for her, and which you fail to account for or take as valid.
So yes, even though you are right that homeopathy is a load of hog’s bollocks, you may, in fact, have set the bar too high.