Do I believe everything science "proves"? I find the wording of this pretty odd.
One of the things I like about science is that it admits when it is wrong. Research is ongoing, evolving. What was considered best practice ten years ago may not be considered best practice today.
I trust treatments that are prepared to be subjected to research. Generally when something is open to research, it is also open to change and improvement. There are plenty of treatments, both modern and alternative, that are well-researched and have results that indicate that they are useful to the user. I include things like Yoga and meditation into this category. They are ancient practices, which have time and time again been found to have positive effects on the human body.
It is less what science "proves" that concerns me, and more what it does not "prove". Thousands of peer reviewed studies have found homeopathy to be completely ineffective. Things like amber teething necklaces literally go against the laws of science; it is physically impossible for them to do what they are claimed to do. Ingredients that anti-vaxxers claim harm children in vaccines are not even in the vaccines. There is no evidence to back the claims of the people who claim that these things work.
I honestly would prefer to use a treatment supported by research and science, that is evolving and improving over time. I cannot understand intentionally disregarding the hard work of thousands of well educated health professionals in favour of purchasing overpriced water that has been bashed on a table three times by a person who did an online Diploma from the college of natural therapies that took 2 years and is in a subject that has no reliable research to back it up.
The majority of people who spend years, decades of their lives studying and researching medical treatments are not trying to pull the wool over your eyes. They are genuinely interested in making your life healthier and happier. They devote their entire career to developing treatments that improve your quality of life. I would prefer to put my trust in them, and their research, than the opinions of a snake oil salesperson.