There's no doubt that HFH and his other charitable organizations have made him "trusted".
Also consider the fact that he was just an ignorant Georgia hick. His incompetence wasn't fueled by malice but just a sheer lack of capability to run the office.
Sure people will trust the man when he doesn't do anything. He has no opportunity to mess anything up.
I don't actually know anyone on that list, I like a whole bunch of them, and I dislike some too....trust, though?.. I find it difficult folks whom I know very little of, beyond the persona they present in the public arena