Both the military "Alpha Group" and "Vympel" were active combatants in both the first and second Chechen wars, they are branches of FSB, which were indeed responsible for the Russian presence in Chechnya since 2001.

Point being, the persons in charge of the the gas and raid in the theatre were also the guys in charge of tactics used in Chechnya.

That may be the case, but nevertheless when they were dealt with the hostage crisis, going back in time and correcting the policy decisions which precipitated it was not among their list of options.

(And were the commanders on the ground that week actually in decision making positions during the Chechen conflict? 'Following orders' doesn't excuse their participation, but it seems unlikely they personally were ever in a position to stop the conflict.)