It depends on what you share as being your cognitive experiences. If you explain how you touched a hot stove and it burned your fingers ten my trust is high. If you claim you were in distress and experienced an angel comfort you, well then my confidence would be very low. What others share of their personal cognitive/mental experiences will be assessed on what I understand of the environment we humans exist in, what psychology explains of human behavior, and how humans can be unreliable in what they believe they are experiencing in their minds. The more extraordinary the claim, the less I am going to accept the claim at face value.
We all know that religious people will adopt certain ideas from their social exprience and create experiences for themselves based on learned ideas, and their desire to mimic the social behavior of those around them. Some of my bike racing friends will share their race experiences on social media, and being a racer myself I understand what they describe is real and accurate. They will go into detail about how the race evolved and what they did as a partcipant, sometime doing well, sometimes cracking before the finish. These kinds of testimonies are drastically different than a theist explaining how they had an experience of God during a church service. I've been in church as well and understand the awe we humans can feel. I just assess these emotions and the experience as something occurring in my mind, and sometimes falling back into religious ideas.