Then I guess the question is, what are the ratios of those moving from religion to none, from none to religion, and from one religion to another, as a result of this "looking deeper?" Now, that's a hard question to answer, but according to Pew Research in 2017:
"At present, the best available data indicate that the worldwide impact of religious switching alone,
absent any other factors, would be a relatively small increase in the number of Muslims, a
substantial increase in the number of unaffiliated people, and a substantial decrease in the number of Christians in coming decades."
The Changing Global Religious Landscape
Now, I don't know what this suggests to you, but to me this strongly suggests that people are not finding some "existential truth" with this soul searching, but are rather finding what is there inside themselves, or in those moving to unaffiliated, what is not there that they imagined was. Because if there is an
"existential religious truth," and "looking deeper" is a means of finding it better, then these numbers should be going the other way.