I had some thoughts about this and whenever the WoL/WoD died, you just reset. Though to be honest considering the closest to it is Duty Failed, I think considering the weight of what’s at stake in the First during 5.0 is worth having a screen like that in Trust instances. What would people think of it if SE added that potentially?
If the point is to emphasize the weight of the situation I don't think something as meta as "Game Over" is appropriate, because this kind of MMORPG isn't "Over" until the official servers are offline. The message is kind of misleading, especially when people expect Duty Failed when the duty fails, and there'd be no context to explain why this system message is different.
I'm not sure what happens when you wipe a Trust but I think maybe some defeated dialog from the NPCs you're with would be more appropriate and far more painful to hear, though I'd be a little surprised if they don't already do this.
Why is this necessary? It doesn't do that when you wipe in any normal dungeon.
The idea is that any failures you encounter are just what could have happened during an echo vision, and your successful run has had you learned from that and you just one-shot everything like the god you are.
I wish game overs was a thing in general. We need actual game overs. The ones that every real gamer fears.
GAME OVER YEAAAAAAAAH!