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If you haven't earned any achievements it is normal, for Origin the last played timestamp is the last unlock time, it doesn't update if you play without earning any new achievements unfortunately. I just checked to see if there were any changes to the API that would allow us to get the actual last played time but it still works the same way.
Anyway, I can enable adding a manual time for Origin games. Will get that in later today.
edit: It will take a bit longer to implement. I noticed some issues, need to fix first before pushing any changes live.