I used this Lora with a weight of 1, and denoise strength of 0.45-0.55,

https://civitai.com/models/370957/luisappsx-style-wizard-20mb-ps1ps2

SDXL model - AlbedoBase V2 - https://civitai.com/models/140737?modelVersionId=281176

I haven't played PS2 games, but from what I can tell by seeing online screenshots, this Lora replicates the original artstyle better than your examples, but YMMV. They most likely have a custom trained model, and also do some post-processing for contrast/levels, which I didn't do for the sake of showing you the raw output this Lora gives.

PS: There's also this Lora if you'd like to try out another - https://civitai.com/models/254376/ps1redmond-ps1-game-graphics-lora-for-sdxl

PS2 (hehe..): The base images are also AI gens.