That is a flat denial of my experiences (and others) for the most part! I suppose you need it to support your faith in science.
It's a denial of your conclusions. Your experiences are so ordinary, as you've described them, that there are reports of hundreds of the same kinds of things happening to zillions of people, so I doubt anyone is saying your experiences didn't actually happen. At least I'm not.
What people are arguing over are your
conclusions. That's garden variety science. There's data, there's a hypothesis, there's further analysis or collection of data, etc. None of that denies the data exists. It's all focussed on conclusions that can be drawn from the data.
Those who rely on faith that theit conclusions are correct get huffy when challenged. I've seen this in history and genealogy too, not just new-agers or theists.
Those who rely on evidence may say a few swear words under their breath when challenged, but then they buckle down and get new evidence to build a stronger case.
If someone has faith that great grandpa enlisted in the army at 16 based on family stories, he'll think anyone who doesn't believe is calling his family liars. If someone is using family stories as
evidence, but someone else shows grandpa was 18 on enlistment papers, he'll look for further
evidence to support the stories, like a birth certificate or birth announcement, indicating grandpa lied to the recruiter.
My wife lost a friendship with someone when she pointed out their ancestor probably wasn't running the local underground railroad and scaring off slave catchers at nine years old. The person was taking family stories on faith, so they didn't need corroborated with census records, and my wife therefore was calling her a liar. My wife wasn't denying the family stories existed, she was saying one couldn't conclude they described events accurately.