I'd like to know as well. There's many you may have already done like spotlight an enemy before the card comes up.
I do not think they should count, if they did then there is a high possibility players will have created a backlog of "already achieved objectives".
A (little) bit of thread necromancy on my part, but I actually had the same question about classified objective timing in countermeasures a couple of years ago, TL;DR is that in Countermeasures you should keep track of a number of CC kills by both players, and if/when Predator comes into the pool of Current mission objectives and stays there until the end of the turn it became active, then all players who had enough CC kills by this point will score points for Predator. There's also some silly things with Telemetry, Rescue, Capture, HVT:Kidnapping which can be achieved simultaneously in some edge cases, but for these I'll leave a link to the the thread where I asked these questions in the first place: https://forum.corvusbelli.com/threa...-timing-in-countermeasures.39728/#post-404596