Aali's Driver pulls the new texture files from a specified folder, which is setup automatically from the GC to be ...\mods\Textures. 7H needs to place the downloaded texture files into that folder, which is done by specifying Workshop -> Settings -> Library Location to point to ...\mods\Textures. This is shown in STEP 3 of the written tutorial, images included. My suspicious is that you made an error typing in the path for Workshop -> Settings -> Library Location. Post a screenshot of your Workshop -> Settings if you're still unsure.
Textures are the only mods that need this specific setup to work. Other mods, such as models, music, movies, gameplay, etc., are not built from new files that require Aali's Driver to work. They are just injected directly into the game folder. That is why you see all mods working except the textures.