I agree, that phrase seems to be a little misleading with the “trust in God” crowd because to them, that is the ultimate answer, and no other answer would come close to being “right”. But “trust the science” is not meant to be the ultimate answer, just a sign pointing you in the right direction, so that you can then check the science to see if it’s reliable. So, the science that you’re trusting is not theirs, but yours.
I agree, that phrase seems to be a little misleading with the “trust in God” crowd because to them, that is the ultimate answer, and no other answer would come close to being “right”. But “trust the science” is not meant to be the ultimate answer, just a sign pointing you in the right direction, so that you can then check the science to see if it’s reliable. So, the science that you’re trusting is not theirs, but yours.