Do you think it's petty to CC the manager when corresponding via email with co-workers?

Sometimes co-workers do not give the info that they need to in a timely manner.
We are supposed to work as a team. You have puzzle pieces that I need, but you are not giving them to me, like you are SUPPOSED TO.

Do you think it's petty to continuously include the manager in email correspondence with co-workers, in order to cover my own ass and show that "hey, I reached out to them on last week for this info"...