If my manager said "would you like to x" I would assume he is trying to figure out who on the team to give x to, and wants to take our preferences into account.

If my manager said "would you like to x" I would assume he is trying to figure out who on the team to give x to, and wants to take our preferences into account. He may end up asking me to do it anyway, but at the time of the question it was not decided.