I don't comprehend how having a cc but not actually using it leads to being trusted more
I am guessing that data has shown people who utilize less of their available credit are more likely to not default. Whether that is morally better or not is up to you.
As for the reason this is the case, I am guessing it has to do with resisting temptation and not living right at the edge of your means. Having credit but not using it shows that you have a buffer between where you are and destitution.
What you don't do with a credit line is just as important what you do with it.