Don't be so sure everything will be fine. This happened to me before & when I finally got my account back I still couldn't access CoD MW2 (this was not long after the game had come out). I re-contacted Steam & they said I had been banned from playing MW2 because I got caught hacking on there! After reminding them that my account had been hacked & I had only just regained control of it they didn't want to know. They said they couldn't un-ban me & if I wanted to play MW2 again I'd have to buy it again & register it on another account! If you look at my account profile now it still says Ban(s) on record in red & Steam refuse to remove it.
So no everything might not be fine.
Here is my account where you can see the ban http://steamcommunity.com/profiles/76561197969232668/
So no everything might not be fine.
Here is my account where you can see the ban http://steamcommunity.com/profiles/76561197969232668/