jamyskis: I was in English support and the guy - an Indian using an anglicised name I think - barely spoke English. There were real communication problems. Crysis, Mass Effect 1 and C&C 3 I think were the issue.
As I say, it wasn't specific games, they just said pick one and that was it, and did not mention this fact on the Help page before I ended up waiting 15 minutes for an advisor.
I'm less annoyed about the fact that I couldn't activate the games than I am about the incompetence of the customer support there.
They outsourced it to india some time ago. I only tried Crysis from the games of this list. (The war chest actually), Took them a bit, about 20 min, but then I had two games on my Origin.
They recently updated their "automatic acceptance" of games on the service. (eg, you can now also activate Bulletstorm without going through support). Might be worth trying.
Edit: And while they weren't the first to offer that service, it was most noticeable with EA as they simply have the most games. When Valve did it with their games, there wasn't really much to activate ... This is why, imo, they established this as industry standard which lead to GOG and uPlay following in their wake.