Rudra

It's not just this mission. However, yeah, the heroes are often killed by enemy AoEs. The only way to deal with it is to have a ranged attack, including prestige ones, and blast an enemy from a safe distance to pull them away from the NPCs. This /usually/ avoids the problem, but not always. (The other mission with this problem is the rescue the injured PPD mission blue side. One of the injured PPD invariably spawns near the boss at the end and is immediately killed by the boss as a valid target.)

(After 20 minutes, I said to hell with it and just cleared the mission without pets.)

Problem is, sometimes they don't load at all. So not a question of knowing when available. After 20 minutes in the mission, the buffs still had not activated for me on my 1st run through. Running it through Ouro' as a 2nd run, it ran fine and all powers/buffs loaded immediately. I don't know how long the OP waited, but 20 minutes is well beyond knowing when to act. It is a glitch/bug that only sometimes crops up, but that does not reduce the concern of it not loading.

How is "With great power comes great responsibility" an answer to the problem or even relevant? As for what happened, I don't know what caused the glitch. I was invulnerable to the Crystal Titan when I did it. My minions couldn't hurt a thing though despite having all the same Incarnate Limitless Radial Freem abilities until after I went through the arc a 2nd time. So apparently the powers don't always load.

The Revenant Hero Project is listed before They Call Me The Doctor in the Pillar of Ice and Fire. I also had already completed the Revenant Hero Project arc previously. The concern is not the badge, it is knowing what missions/arcs I have or have not completed. Oddly enough, They Call Me The Doctor shows completed after doing Mender Lazarus' task force. The failure to show completion when completed or showing completed when a completely unrelated arc is completed may be minor in the overall scheme of things, but is still something that needs to be fixed.

I've run the "They Call Me The Doctor" mission from Ouroboros 5 times now. I got the "The Doctor's Ally" badge the 1st time I completed it. I spoke with the contact after the mission itself was done each time to make sure I got all the steps. And the mission still shows as not being done in the pillar of fire and ice.