Boss revamp for last man standing

We all had games where your team gets wiped and you are left with a mercy of rng and pray that boss will not just insta rage on you and kill you in a matter of seconds (boss having rage streak is totally not fun)

So i came up with an idea for a boss behaviour when there's 1 player left alive, and that is making the boss taunt and tell the player to run, run like a pig while boss is standing there preparing his gear and after some seconds (10-20) he begins to walk, just a normal walk on searching the player and after 40 seconds he switches back to his regular behaviour.

​​​​​​What this whole scenario does is that it lets the last player escape, heal up and grab ammo and face the enemy to either win or die trying.

Ofc there's one but, you'd say it would be a cake to dmg boss while he stands there for 20 seconds, but no. When the scenario kicks in there's couple second no reaction time for the boss if player damages him after when he kills the last teammate, after that there's a small hp threshold where if a player continues firing at him instead of running, that will enrage the boss and he will attack making your chance to heal up perish.
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Boss revamp for last man standing