That's true. Personally I agree that it's irresponsible to use psychics to work on such a serious matter. That is true about statistics, although it does seem like there are things that clearly go beyond chance. I've had a few experiences myself that seemed to fall into the clearly not chance category, but like I said it's really spotty and often very mundane. I certainly wouldn't see the stuff I've experienced as being particularly reliable for much of anything at all, let alone anything of any importance whatsoever. It's just that sometimes it seems like I'll dream about stuff or know about stuff that I couldn't possibly have known through normal means. I have to admit, it is quite strange sometimes though.
For instance, there was this one night where I had a dream that I walked into the store to buy this beer that isn't shipped to my area and never was. When I woke up, I thought very little of it as it was a completely mundane dream, though I never saw the stuff in any of my dreams before and I keep a dream journal. However, despite the stuff not being shipped into my area, I walked into the liquor store that day...... and there it was on the shelf! The guy at the place said the stuff wasn't shipped to the state and they might not get it again but they got overstock from a liquor store out of state and they'd have it for a little while anyways. So strange, yet so mundane. I mean I wished I would have had a prediction about something more meaningful than a beer

Could it be chance? Possibly, yet it was quite strange to say the least. There have been a number of things like this that have happened, sometimes more so than others.
I've had countless examples like that happen to me too. But there are several important points to keep in mind.
First, working with the assumption that this is something paranormal.
1. It proves nothing more than what it proves, which is the existence of uncontrolled precognition of unspecified seemingly random subject matter. It says nothing on the subject of ghosts, or conventional psychic readings, it proves nothing in terms of anyone having control over the phenomenon (it could be precognitions are innately random and can't be selectively accessed.
2. It does not prove the existence of other claims of precognition beyond the kind you and I have supposedly observed.
Now, assuming it's not real.
1. It is possible for you to have thousands and thousands of dreams in your life, the odds of you experiencing a couple coincidences like this aren't as low as you'd might think.
2. Our brains are designed to find similarities, so we see these coincidences much more noticably than all the failures we ignore, and yet don't take as failure but mear dreams.
3. Our memories are not reliable, as a lucid dreamer, as am I, I don't have to tell you the importance of keeping a dream journal, tye brain has this habit of trying to scrub or memories of the dream soon as we wake up. In addition, our memories are shitty at accuracy at the best of times, so we can misremember coincidences so they become more unlikely than they really were by adding and finding new accurate details.
4. We include the accurate details validating the vision, yet ignore all the parts that were wrong.
5. It is also possible for there to be unknown information, perhaps you saw the beer somewhere else in relation to the store in the lead up to it showing up in stock. You pay no notice at the time, but our subconscious can still notice, and deliver it to our conscious mind via a bunch of ways. Dreams, apparently random thoughts, etc.
And this is just for this one example. Everywhere I look for cases with validated detailed information, I find these problems crop up. And it all leads to the phenomenon likely being entirely caused by human failurss of perception.