I tried https://aluigi.altervista.org/bms/madden_terf.bms but I got no filenames from NASCAR 2005 Chase for the Cup DATs. What is *.dat and are there ways to restore and log hashed filenames from DATs?

Tried a tutorial but it doesn't support DLL injection into PS2 games for restoring hashed filenames and it can only be done for PC versions of games.

 

https://drive.google.com/file/d/15vu4VE5zrD3SFvnBBfEZvd8SKrUzp7zb/view?usp=sharing

So you need the hash function which EA Tiburon devs used. You linked a cool tutorial but since it's for PC games (Obscure II) it won't help here.

Maybe search for tools for other PS2 games of said developer (where they might have used a similar hash function if you're lucky).