I think a better way of putting it is "Trust, but protect yourself in case you are wrong". As I wrote elsewhere, I think saying that you "absolutely trust" someone (anyone) is one of the most arrogant things you can say; you are not only saying you trust that person, you are also saying you don't believe you could be mistaken. Believe me, there is always room for a person to make mistakes.
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I believe Trust but verify is the best alternative.
I think a better way of putting it is "Trust, but protect yourself in case you are wrong". As I wrote elsewhere, I think saying that you "absolutely trust" someone (anyone) is one of the most arrogant things you can say; you are not only saying you trust that person, you are also saying you don't believe you could be mistaken. Believe me, there is always room for a person to make mistakes.
I don't quite see how this is different from "say you trust, but act as if you don't", aka "don't trust, but lie about it".
Trust but verify = Make an informed decision