In my experience DODI installers tend to work slightly better than Fitgirl's on Linux, but keep in mind that different games are compressed with different tools, and some of those tools inherently work better on Linux/Wine than others. The standard Ubisoft compression tool (more accurately it's called a precompressor) has given me a lot of trouble on Linux, and every repacker is going to be using that same tool. Grabbing clean files and applying a crack yourself is always going to be the most compatible way.
If you don't have bandwidth or storage restrictions, I'll always recommend you pull directly from a scene release or a clean steam dump instead of a repack.
Fitgirl installers usually work on linux, some of them crash but it can be worked around with WINE_HEAP_DELAY_FREE=1 (assuming you're using a wine build based on valve's tree). This also fixes a lot of old games crashing due to memory management issues and race conditions between threads.
You can find games like this one in rutracker which require no installation, decompression or dwarfs thing, only the files.
Just like what you'd have after installing a repack
It is not fully private. You can browse without an account but cant use the site's search. If you don't want to create an account you can use a search engine like duckduckgo like adding
site:rutracker.org to your query
On steam deck I mainly use dodi repack.
From what I heard fit girl often do mistakes in repackages. (If someone is curious I can look for the game I had problem with, from memory that was a simple steamid missing in a crack)
The trouble is once a version is out you can't patch it.