I have not kept up with modern Catholic teachings, but I recall the idea of infallible sources or truths and that conflicts with the scientific process.

A religion compatible with the scientific understanding of the world would be one that is open to amending its assumptions at anytime. At least that is my understanding of science.

In my experience, "Data" is just a devout reverence for statistics. It claims to be a science but, like other modern belief systems strays into trying to be the "source of truth & the end of truth".

https://en.wikipedia.org/wiki/Dataism

A weird pseudo-religion.