It's not about yourself, but about understanding others. People grow up differently, have had different experiences, and hence have different risk assessments on who they trust and what they're willing to lose when that trust is misplaced.
Well, what profession are you in? If you're a lawyer, or a financial advisor, or, yes, a doctor, then your revealed character absolutely has a bearing over whether you're a fit and proper person to be in a position of trust.
Trust is one of those things that is asymmetrically visible. It's very easy to not notice the many many times a person or organization is trustworthy and only see the instances where they are not.
Ignoring whether it's a good idea, this is not trivial these days - both parties need to really trust each other given the number of ways things can go wrong.
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