I've never understood "trust science" as "blindly trust scientists". I've always understood it as "trust the scientific process", which is sensible in my opinion, as the process is designed to determine truths.
When people falsify results, what they are doing isn't really a product of the scientific process, they are just committing fraud.
Particularly for heavily politicized topics, "trust the science" usually means something like "trust that the people that the media has designated as scientific authorities always follow the scientific process, understand statistics, and are objective searchers for truth; moreover, don't try to substitute your expertise for theirs."
The scientific community can't simply no-true-scotsman every claim pushed with the banner of Science that turns out to be false or fraud if it wants the true claims to be considered seriously.
When people falsify results, what they are doing isn't really a product of the scientific process, they are just committing fraud.