All fields of inquiry are tainted by ideology. Read the history of literally any scientific field ever. The entire system is designed to accept this as fact, because science is done by humans, and to still arrive at the truth nonetheless.

If we take those two observations: a) science is done by humans and b) humans have motivations, obviously the way to arrive at truth is to allow for most things to be wrong most of the time. This is the process by which we've learned every single thing about the universe.

I don't know what you mean by "held to the same rigor." I don't think any psychologist on the planet would tell you we understand psychology as well as we understand basic chemical reactions.