Arguably the best thing about Origin, EA's online storefront, is its "On The House" program. From time to time, the publisher would offer its top-tier games for free, with past deals including Dead Space, Syndicate and Battlefield 3. Well, it appears EA has killed off On The House and replaced it with Origin Access.
After noticing the missing page, a Reddit user with the handle "BigWhomas" opened a dialogue with customer support, where they were informed of the bad news ("Danish" referring to the EA representative):
Danish: __, right now origin on the house services are closed by EA.
you: Oh no :( are they ever going to bring it back?
Danish: No updates are announced regarding opening on the house as of now. So I won't be able to tell you that it will come back or not.
So, it could come back in a different form, but for now, don't expect any more free EA-published games. Such a shame.