True, but I tend to find similar kinds of claims of evidence across the different religions: miracles, fulfilled prophecies, divine communication, afterlife visions, etc. If I was to try to consider Hinduism to be true, then I'd need some reason to consider the reports of supernatural experiences in Hinduism valid while considering similar anecdotes in Christianity to be invalid. If those things in Christianity could all be put down to lies, hallucinations, coincidence, etc., then I could just as well assume that the same is true of Hinduism.
This is where I think your thinking might be different than mine. I personally believe individual supernatural experiences occur to people of all the different religious schools of thought (Christians, Hindus, etc.). In universalist thought the 'narrow' and exclusivist concepts are dropped and a merging begins to be seen.