I want to let you know that the original author often retcons the story. Some plotlines are removed or changed. For example, in an earlier version, when Ren obtained the original Raoul, he fought his shadow/Arsene, regained his memories, and realized he was delusional in the Honkai world. However, the author later retconned this into the current version.
There are several small and major retcons throughout the story, which I've noticed after rereading. I'm too lazy to retranslate everything, though, since most of my time goes into OCR from the website and fixing technical issues—it's really time-consuming.
Recently, the author has made some noticeable changes, like updating the title to [Trickster's Honkai Impact] and revising the description. I've also noticed some chapter adjustments, but I'm not entirely sure of the full extent.
New description:
So I've been reincarnated as Ren Amamiya, which means this bright red world must be Mementos, right?
First things first, I'll just follow my destiny as the Trickster: collect Personas, conquer Palaces, gather the Seven Deadly Sins to use as ammo, and defeat the false god lurking in the depths of this impression space to complete my rehabilitation. I'll figure out the rest later.
...
"What do you mean I seized the power of Finality, led humanity to a complete victory over the trial of the Honkai, and successfully saved the world?"
The nine-timing admiral, Ren Amamiya, recalled his final Persona, Satanael, which stood as magnificent as a mountain.
He glanced at Bronya, Rita, and the other Phantom Thief girls behind him—girls he had assumed were just characters from some Persona 5 A, B, C, D, E, F, G spin-off—and finally began to realize that something was terribly wrong.
"What the hell kind of P5 is this?!"]
Some of the changes I've found, I just merged in. I don't have time to reread everything every single time, but I can confirm the main plot is mostly the same. There are differences, though—like Ren's memory. At first, Ren had some impression of Honkai Impact and Kiana, but later he became clueless.
As for updates… the Patreon version is only a few chapters ahead of what's here, but the author has stopped updating for now. So yeah, you'll still have to wait.