I'm not sure it's even a trust issue.
I'll give you an example. I had a DM tell me that there was no plate mail in her world because plate mail was a later invention than chain mail and she wanted a historically accurate game. I pointed out that plate mail actually predates chain by a considerable margin. But, she stuck to her guns and insisted that her interpretation of history was right because, well, why would chain mail, with an AC of 5 be a later invention than plate mail with an AC of 3?
Not a trust issue, but, well before the days of Wikipedia so finding answers were not so easy.
Or, another time, I bombed the party with a manticore. I love manticores. One of my favourite critters. A player piped up and complained that I was using a manticore in a completely wrong terrain - manticores in 2e were desert monsters and we were in a temperate forest. Now, he was 100% right, but, I stuck to my guns. It wound up being a rather lengthy argument at the table, so it stuck in my mind. I often wonder if I had of just admitted that I screwed up and skipped the encounter, if it wouldn't have been a better solution.