Secondly, can you think of a situation in which the noun "trust" would be applied to a corporation?
Precisely my point.
By the way, the word "trust" is an adjective.
No, it's actually a noun and a verb, but not an adjective. "Trustworthy" is an adjective.
I have trust in you. (noun)
I trust you. (verb)
Sorry for the grammar-nazi interlude.