If I made a war game I would definitely give armies a stat for Pride.
Pride isn’t the same as morale. Pride is a blessing and a curse. Winning increases your Pride and Pride lets you do bold things but it also limits your options. Pride won’t let you back down. Pride won’t let you retreat when you probably should. Pride can’t resist the urge to attack and show your enemy that you are superior.
Pride makes you order Pickett to charge an entrenched enemy who holds the high ground. Pride makes the flower of French chivalry charge into a hail of arrows. Pride makes you throw more and more troops at Stalingrad. Pride makes you push deeper into India when you should probably just sit back and rest at one of your many Alexandrias.
As a game balance mechanic Pride could be lovely. Every victory you won would come with its own built-in cost. Your own successes could turn the tide against you. You could even design scenarios to start with a substantial advantage in troops or disposition but be hamstrung by your overreaching Pride.