Ayurvedic medicine is far from infallible. Take this for instance, a selection from a reasonably popular Ayurvedic text (
https://www.amazon.in/Bhojan-Chikitsa-1-Ganesh-Narayan-Chauh...) that is aimed at a general audience and purports to explain the health benefits of various common foods (my translation follows):
> कैंसर: कैंसर में पहले तीन दिन रोगी को उपवास कराएं, फिर अंगूर सेवन कराना आरम्भ करें। कभी-कभी एनिमा लगाएं। एक दिन में दो किलो से अधिक अंगूर न खिलाएं। कुछ दिन पश्चात छाछ पीने को दी जा सकती है। अन्य कोई चीज़ खाने को न दें। इससे लाभ धीरे-धीरे महीनों में होता है। इसकी पुल्टिस घावों पर लगा सकते हैं। इस रोग की चिकित्सा में कभी-कभी अंगूर का रस लेने से पेट-दर्द मलद्वार पर जलन होती है। इससे डरना नहीं चाहिए। दर्द कुछ दिनों में ठीक हो जाता है। दर्द होने पर सेक कर सकते हैं।
> Cancer: for cancer, have the patient fast for three days, then begin their intake of grapes. Perform enemas intermittently. Don't feed the patient more than two kilos of grapes in a day. After a few days, buttermilk may be given for drinking. Do not provide anything else to drink. In the next few months, an improvement will slowly be noted. A poultice may be applied to their wounds. In the course of the treatment of this disease, the intake of grape juice will occasionally cause stomachaches and a burning sensation on the anus. This is no cause for concern. The pain will subside in a few days. Compressions may be given to alleviate the pain.
You could argue that such obvious quackery has also been peddled by Western doctors who are trained in the scientific method. That is true, but at least these doctors' manuscripts wouldn't be accepted by any reputable journal. Admittedly I'm not sure how the Ayurvedic medical community organizes itself in India, but I'm willing to bet it doesn't place so much emphasis on the scientific method, and you also imply this in your comment.
A less extreme example of what's found in the book, a remedy for diabetes using bitter gourd juice:
> मधुमेह: रोगी को १५ ग्राम करेले का रस सौ ग्राम पानी में मिलाकर नित्य तीन बार करीब तीन महीने पिलाना चाहिए। खाने में भी करेले की सब्ज़ी लें।
> Diabetes: Have the patient drink 15 grams of bitter gourd juice in 100 grams of water 3 times daily continuously for three months. They should also eat cooked bitter gourd.
I think you'd agree that the remedy above isn't as good a treatment for diabetes as an insulin regimen--the one prescribed, by the way, by Western medicine.
In summary, there's no doubt that traditional systems of medicine like Ayurveda or Chinese traditional medicine have discovered legitimate remedies, but it seems like they generally prescribe a large number of false positive treatments. And if you also believe that the scientific method is the best epistemological apparatus that humans have found so far, then you should be skeptical of these remedies until they have been clinically demonstrated to be effective.