Can they trust that you've explained your reasoning honestly and showed all your data? In the political arena proper, it's very common to see politicians fail to mention inconvenient data or present unsound arguments which don't actually describe how they came to their conclusions.

There is no complete trust in life, no matter what. I can't trust myself that the data I collected myself and the conclusions I drew myself are correct. That's why we have scientific discourse, where other scientists read your papers, think that it's hot garbage and do their own investigation.