Most reincarnation are like this. It is mostly that they either
-have a horrible fate and gets another chance to reclaim it and take revenge (the most basic out of them all; you can find a lot like this)
-came from another world and it was a novel trying to rewrite their fate because their character is a nobody/dies
-time travel back to where they were reborn
-Or they died and instead of getting revenge they kinda just accept it and build a new life (specifically referring to Scholars Reincarnation because I mean he didn’t take revenge and it doesn’t seem like he wants to it looks like he just wants to live his life)
If you want a recommendation of something like this just askance I can give you some
Not sure if all reincarnation novels are like this but this plot is almost identical to The Rebirth of the Malicious Empress of Military Lineage . Like almost to a T