“Trust the science” has always bothered me for two reasons: 1) science is frequently not black and white and anyone who has done hard science research knows there are plenty of competing opinions among scientists and 2) while scientific facts are facts, we still need to decide on how to act on those facts and that decision making process is most certainly political and subjective in nature.
There is also a weird thing where people will attribute simple natural phenomena to science. Conflating the subject matter with science itself. I recall seeing a post with these colored ants and a caption like "Isnt Science Cool?" https://www.smithsonianmag.com/science-nature/these-rainbow-...
Thats not science. Those are ants being colored by food coloring... that would be true with or without the scientific method and you don't even need it to observe the effect. And when you do need science to discover some phenomena (say the nature of black holes) its not science that is amazing if you are simply talking about how amazing black holes are. Its the method applied to understand them that can show how amazing science is. Black holes arent science.