The AI never doesn't react to the fallen grenade near to him. Why AI does not want to survive? Even in the primitive gameplay of Call of Duty, I've seen bots trying to escape, if the grenade fell next to him.
If enemy, which threw a grenade, was detected by the AI, then this AI should try escape from the dangerous radius around this fallen grenade or do any actions for survive (for example go to prone position).
Or even if a enemy, which threw a grenade, was is not detected by AI, but this grenade falls very close to this AI, then this AI should detected fallen grenade also.

Also, will be good to hear the AI alerts cry about detected grenade for allies! Such a reaction would be more realistic!

BIS, please make the behavior of the AI is adequate.