If this is true, and it is possible to see the "memories" of future incarnations of the Attack Titan--and by extension any of the original Nine Titans--before they are made by the carriers themselves, then wouldn't that suggest that the Titans' paths are all fixed, and everyone who inherits their powers is just a Cosmic Plaything under the illusion of free will?

The first picture is eren himself, he grew up (there was a timeskip) Eren lives under the name Krueger at Marley he also figured out how to controll his powers right.

Ahh so, if it is Eren (timeskip) then he actually met his grandfather. Unknowingly, but I don't think its either side, he must've got a clue when they introduced.  Btw, I doubt it a little bit because of how the way this Eren Kruger talk. Well, set aside I'm happy I figured out this Eren's identity. I didn't see the timeskip caution afterall.

I have found the cure for the Curse of Ymir according to my theory . The devil that met Ymir is the cure and if the devil dies , then the power of the titans including 13 year lifespan will be gone back to where it belongs . I believe that this will be the end of Attack on Titan series and I have planned a tribute long time ago .

I've been wondering, Why did the Founding Titan form that the Fritz/Reiss family have go only thirteen years, is it because they didnt want to lose the Titan Form but what if since if whoever has the FT form lives more than 13 years then that should/could add to the others lives. Maybe? Why does it only include just the original's lifespan?

The curse lasts 13 years because Ymir had her powers for 13 before dying and giving her power to 9 inheritors, for whatever reason, since Ymir was basically a god in material form and nobody can be more powerful than her.

I read about a titan from Greek Mythology named Prometheus (he shaped man and gave them fire). Supposedly, he had the ability to take glimpses into the future and could make his decisions based on them. Maybe the Attack Titan could do the same thing before something insanely life-changing happens before the shifter? Kruger mentioned Mikasa and Armin before he was going to pass on the power and Eren had the nightmare before Maria was breached. Then again, all Eldians are supposedly connected by "paths" that traverse time and space, so maybe shifters can have extremely rare glipses of memories from the future.

I think maybe these genetically inherited memories can also be shared and or connected both ways across time. As in separation of time periods doesn’t effect them. It’s like a bridge. It goes both ways. Though one end isn’t as receptive as the other it goes both ways. Not only can memories be passed downward but the memories of the newer generation can also be leaked back to the older one. Like some time linking mailbox or whatever in the form of a genetic memory exchanging connection. I mean hey. Eren memories were unlocked through touch. So this wouldn’t be to far fetched.

For the loop thing. I think he could easily be talking about how when people don’t learn from history they are doomed to repeat it. Eren despite trying to make a difference. Due to his violent and flawed approaches. He’s being no better. He speaks of others being slaves, but he is just following the same flow of misery just in his own style. Mikasa and Armin are the key to breaking him free and saving his soul.

This Is what I think, I think it's very possible, because he saw Armin and Mikasa! I think that's why Eren pushed ARMIN AND MIKASA away to protect them, its just a theory but, Eren is the type to do that, but than again Eren had always saved and protected them in anyway he could, when he said Mikasa was a slave he did tear up, its possible whatever his planning is just to dangerous o bring them into it.

i dunno but i think that the whole issue about Kruger knowing about Armin and Mikasa has something to do with the Paths. From what we know so far about the Paths is that it is a way that the Eldians are connected to each other and Ymir via invisible paths that join together to form a Coordinate. It is the Paths that connects past and present titan shifters through memories, wills flesh, bones etc.

so maybe Kruger knew about Armin and Mikasa through Ymir who probably saw through the future or something. I'm not sure if it makes sense but that's what i got from my research.