Ayurveda likely has a lot to offer as a FOUNDATION to start doing investigative research; but this claim of "any vedic sciences are arguably as rigorous as today's sciences" is bunkum. Show me any statistics / clinical trial data (or its equivalent) in the vedas?
I will accept & agree with the idea / contention that a lot of the treatments in ayurveda are possibly based on strong observations & correlations. Which is a good place to start modern scientific research from.
But to claim that ayurveda as written in, for instance, the Atharva Veda, is rigorous science demonstrates to me, a rather stark, depressing & baffling ignorance of modern science.