Newer studies are showing that Near Death Experiences and Out of Body Experiences are located in sections of the brain. It is not turning out to be spiritual as some people have believed. I think you should read the recent studies done by scientists in which they can fully recreate an Out of Body experience when they press down on a certain section of the brain. I think you will find these new studies very interesting to read.
The religious have either avoided science or been pushed out of it since 1945 onward. Early scientists were independent thinkers who would discover and write down the laws of nature (understand God by understanding His creation). Many lived in poverty their whole lives and were recognized only after death while some born in the upper classes had support from donors or universities.
These scientists were motivated by natural truths and could often pursue their own curiosities (eg. growing their own backyard bean farm to test genetics).
To contrast, science today is a discipline of highly concentrated secular careerists looking to manipulate matter to reach some kind of predefined ends ("help humanity," so they like to tell themselves). Focus points are decided on in advance by a very small, well connected administrative staff that allocates funding with their political, military, and commercial priorities in mind (eg. National Academy of Sciences).
These scientists are motivated by their reputations and their salaries, and their objectives are decided on in advance.
So of course you're going to get studies like the one you mentioned. The logical endpoint of this behemoth of a corrupted process is nihilism. Yuval Harari (the "drugs and computer games" guy) will look at these studies and then make a TED talk discussing why everything we as humans find meaningful is just an illusion and the only thing that's real is money (he's a secular Jew). Then the public will accept this viewpoint because they just assume that science = truth and are completely oblivious to the apparatus behind how science actually functions.
Most people just take scientists' words for what is truth simply because the scientists are scientists (ie. "smart people looked into it"). But the reputation science as a field has today is entirely built on on the prestige that early Christians in the 1700-1800s brought into the discipline that gave it its high reliability to begin with. Now that all the original caste of people and their traditions are gone and spent, the "Science" brand name is repurposed today as the literal Ministry of Truth.
(btw, Charles Darwin was still a Aglican when he was on the Beagle writing Origin of the Species, often getting bullied by shipmates for quoting the Bible as a source of moral authority. And Tesla himself came from a family whose fathers were Orthodox priests on both sides).
The bottom line here is that we're in a gigantic mess when it comes to pursuing truth because the credibility we expect from these institutions has been depleted (turns out it was the people themselves giving it credibility, not just the method itself). I expect to see more of this Harari-style Nihilism in the 21st century because that's what the big fish currently believe in.
Probably the best thing we can do for ourselves now is recognize the ocean of secular biased truth seeking we've been swimming in for over 100 years and start asking questions about what the before times were like. Do you agree with the general public's perception of religion as an almost cartoonishly stupid cult, occasionally useful for "helping humanity?" It's also politically incorrect to believe our ancestors knew what they were doing and had good reasons for it, too. How do you feel about that?
No, I don't agree with Tesla.
Tesla and Darwin made achievements in understanding the world going from a religious to a secular viewpoint. At the time, this was still novel. Today there is a largely untapped potential in pursuing truth when going from a secular to a religious viewpoint (or, more often, religious -> secular -> religious like CS Lewis). This break in orthodoxy, I believe, opens the mind.
Imagine what conclusions on the human soul Medieval monks could discover if they had modern STEM textbooks. They'd probably be a lot better than this "we're just a chemical reaction" garbage that's popular now. Now imagine what would happen if a rouge group of scientists today built a monastery and revisited the old literature these monks wrote (I'll tell you what would happen, they'd live in material poverty and be hated by the general public for the rest of their lives).