Yeah, SnK is based on the Eternal Champion, but it's also based on the Dune series.
Shifter memories are kind of like the Spice. It expands consciousness and allows some access to past memories via genetics.
The Coordinate power seems like when Bene Gesserit ingest huge quantities of Spice and get full access over those past memories.
Those who inherit the Shingeki no Kyojin are akin to Kwisatz Haderachs. They have access to past memories, but they also gain prescience.
Some SnK shifters like Grisha, or Paul "Muad'Dib" Atreides see the path they must take to deliver man into true freedom but reject it because they must discard their humanity for the greater good.
Eren Yaeger and God-Emperor Leto Atreides II see the Golden Path and become tyrants in order to enact their visions to save humanity.
Eren is Leto II. He will become a symbolic God. Only those closest to him will understand his actions and possibly only at the very end of the story.
Zeke is the Lady Jessica. They both have plans within plans they try to put into place that ultimately become far too much for them to control.
"Caution is the path to mediocrity. Gliding, passionless mediocrity is all that most people think they can achieve."
"Enemies strengthen you. Allies weaken."
"Only fools prefer the past!"
"I began with love and prayer. I changed to anger and rebellion. I was transformed into what you see before you. I recognize my duty and I do it."
Armin, can you see the Golden Path?