There are technically also two subtypes of telepathy - the sending telepath and the receiving one. Usually, they claim to be more sensitive to one or the other, though they can develop both
While I don't consider myself telepathic, I do admit to that being true with...I guess I would call it Empathy, but I don't consider it supernatural in any way. It is very much possible to influence other people's moods (Sending Empath) and change the way they feel. It's also possible to just be overwhelmed by all the toxic shit they put out or live literally vicariously through your friend 10 feet away, who is completely smitten and sexually aroused by her boyfriend (Receiving Empath). Again, most people with this 'talent' tend to have a natural inclination towards one or the other, and the other one usually develops later.
It is really tough not developing these and sending and receiving unconsciously, because then the empath pushes out emotions unknowingly and also receives unknowingly..... being very strong in either requires great discipline, being strong in both without being conscious of it can mess up all surrounding the sender and mess up the receiver.
I don't know how much type has to do with it. My ENTP brother is very sensitive on the receiving side, getting overwhelmed in crowds. I have always been conscious of receiving as well, but I didn't realize I was being impacted by it, nd thought I just knew what they felt.
I have had the occasion to talk with people and then write down their words in a way that expressed their feelings and thoughts. They are shocked by what I have written because it wasn't what they told me, but was their thoughts and feelings they wished they could express but couldn't. I have heard the phrase, "How did you know that? I never told you that!" on too many occasions.
I only realized last year that I am a strong sender as well. As such I unwittingly push emotions for years on others unconsciously. Looking back I see this caused me trouble when I was in a bad mood. Today, I really try to push positive vibes because I know how fast I can cause others to get messed up.
I don't see it as supernatural per se, just talents that we don't fully understand yet. And since receiving empaths have been verified neurologically via the anterior insula cortex, it isn't mumbo-jumbo.
As to other things, I suspect there is some or much truth in the things science can see and touch. One day it will be clear.
Per my SIL, my wife's grandmother was psychic and read tea leaves. She stopped reading for others after predicting a death.
My mother talked to me once about her doing astral projection as a child. She does several forms of Eastern energy healing as a job for many years.
I had a GF (INFJ) in college that claimed to be a telepath. She said her family communicated that way. She told me I had the talent to learn. I broke up with her because she could see deep inside me, things I hid from myself, and accepted it all. She saw me my first day and immediately was drawn to me, saying I glowed to her. ... I wasn't ready to be healed.....or loved. ...