Interesting topic, about rationality and feeling, truly they are not mutually exclusive, speaking about your example of the funeral scenario.
most scientists who are extremely rational people are actually religious people but they've been able to turn off their religious mindset when facing real facts in the lab.
Human psyche is much more complicated, our belief systems constantly clash with one another, we mostly try to resolve them through cognitive dissonance of varying degrees.
I don’t know if those scientists are actually religious people.
Of our believe systems clash, then that means at least one of those systems is wrong. I believe the truth doesn’t clash with truth, so if there is a clash, there must be a lie, or a mistake.