I would argue with point (c). Recently, I conducted a battle where attacking absolutely any stack at the beginning gave a luck bonus, but if you wait a bit, there is no luck bonus!

And I didn't understand this phrase at all. So, there will be no difference between waiting 2 seconds and 2 hours??? Come on... I don't believe it!!! (c) Stanislavsky

Regarding the last phrase. You and I start the same battle. For example, I generated R1 = BD76h (48 502), and you generated R2 = 9FF0h (40 944). Then, these numbers change only in arithmetic and logical operations and do not depend on the timer. Let's say that after the attack, my Archangel didn't get morale, but yours did. We start the same battle again, and let's say we are lucky enough that R1 for me and R2 for you are exactly the same as the first time! So, no delays will help me get morale, and you will not get it.

I haven't looked at the luck yet...