Low Luck, IMHO has the following detriments:
1) Infantry, Fighter, Tactical kills defending Infantry 100% of the time with only 33% chance of losing your guy. Means you no longer need to use 2 infantry to be relatively assured of getting the territory
2) Naval battles are INSANE to calculate! Then again, they always are.
3) Picket lines tend to have significantly more units than in ADS. (1 Infantry in ADS ~ 3 Infantry, or 3 Infnatry, Armor in LL games to stop a break through)