You're setting up a bit of a straw man that science can not tell us with certainty what is the better course of action. Stating that science can give answers with absolute certainty is a stark misunderstanding of the scientific process (something alluded to in the article). However, trusting the (scientific) evidence (what is typically meant when people use "trust the science") can very definitely guide our decision making process. People typically bring up "trust the science" when proposals are being rejected based on some "ideological" reasoning.
To give a more concrete example, in the discussion about universal basic income, one of the main counterarguments is that people will just stop working. The answer to that counterargument is "trust the science", because every study made, has found that in fact people don't just stop working. Now one might still reject the concept of UBI for various other reasons, but this should be underpinned by evidence based arguments, not saying that the side which says trust the science (evidence) is treating it like a religion.
When people use the term "trust the science" what they typically mean is "trust the (scientific) evidence" and yes that is what we should be doing, even outside the "technological fields". The "trust the science" argument is often made when people reject an