This is an idea that I've been thinking about that could be cool for the Sequel.
In essence, "True Exotics" are items that will always be the highest available light level and include properties that make them better than the normal versions.
So let me demonstrate what this idea could do to something like...Patience and Time.
How to access "True Exotic" Quests:
Once you reach the end-game of the sequel the director would tell you that your Guardian is now open to quests that give items of exotic value a higher tier to work towards.
To gain access to the quest you would have to fill out the required amount of time using said exotic, a lot of kills or specific types of kills, and a trigger item. Trigger Items would be a mission item that would activate upon reaching a spot in the game world, on a specific planet.
Once the requirements are filled and the trigger is activated in the correct spot you would then get launched into a cutscene. The cutscene would always involve a Guardian of Old or a Lost Soul of Light telling you of the item you have. They would give you the opportunity to go through challenges to receive the best version or "True" version of that item.
Let's go through what a quest for Patience and Time would be like.
An Idea for how Patience and Time Quest could go:
The cutscene begins in the jungles of Venus, deep within Fallen Territory. The Ghost would look towards a path ahead, covered with remains of dead Fallen. The Fallen, however, are emitting a large amount of energy that is traveling outside to a single spot. Once the Ghost tells the Guardian the danger, the Guardian of Old reveals himself.
This guardian is a Hunter. The Cloak they wear is completely invisible, hiding the Hunter's body as well. It fragments the environment around the edges where you see his face and body. He speaks of a story, lost to the world from before the Traveler. When he concludes, he tells you that the story is part of your first test, implying that you will begin a legend retold through you. He then disappears...killing a Fallen Captain that was coming up behind you.
The quest is now in your missions tab, and tells you to find a beast that lives within the Jungle. This beast is known by the Fallen as well, but they never wish to face it ever. Your task is to kill the beast ON YOUR OWN and retrieve a piece as proof of the kill.
Coming back to the trigger point will play another cutscene revealing the next task, a stealth mission within a Fallen base of operations. If you're seen, you will surely perish. However, the Guardian will not let you go in with something like Cayde-6's Cloaking technology. The cutscene ends and you can start the mission, retrieve a master cloaking drive from the Fallen base.
Completing the mission will start the last part of the mission on the trigger point. Your final test is to hunt the Guardian. You will have to kill the Guardian within a certain area, but he will be fully cloaked and trying to kill you as well. If you can take him out 7 times, he will give you the plans of the original Patience and Time.
Take the plans to the Gunsmith and retrieve the weapon immediately.
What would be different for this Patience and Time?
Well, let's see.
Third Eye is now a hidden perk and is natural with the weapon.
Patience and Time would now highlight a target's location and reveal footprints of where they went.
This weapon is now completely silent, you will not be seen on radar and name will not show up, and you can shoot the weapon while invisible now. The Lens Flare would alway still be there.
The amount of time your invisible is now much larger and sliding will let you stay invisible.
You will always hold more ammo with this weapon, regardless of ammo perks.
It would also get a visual buff, making it look unique and exotic compared to the original exotic.