Once you hide them, they won't show up again. It's like those application requests.
When someone invites you to add an application, you have 2 choices. You can ignore, but that will mean that people can keep inviting you to add that same application. You can block, and if people try to invite you... nothing will appear in your profile.
I did have to deal with some application status updates because one person is addicted to applications. She actually has like 100 pages worth of applications under "Box".
Well, I simply block them and they don't show up again.