Pretty much. That's literally how all gifts given on behalf of a group work. It implies nothing about appreciation or how much someone is liked, it says that the group gave it.If I sent Trump some jewellery and told him it's from "the people of UF" does that make it so?
How often has your wife sent a birthday/christmas card or present that you had nothing to do with but it had your name on it?
Much of english is filled with dumb phrases. Saying they don't mean what they clearly mean doesn't change them into saying something else.