Migrating materials from InfiltratorDemo breaks them

Hey, maybe someone knows what’s the problem here. I migrated the main character from InfiltratorDemo to another project, and some materials just look wrong, while others don’t work at all. Here’s how it’s supposed to look:

And here’s how it does look:

The materials are assigned correctly and everything inside the materials looks exactly the same. The textures are there, are assigned in correct places, etc.
The helmet material in InfiltratorDemo:

The same material in my project:

And on the mesh, it doesn’t show at all, even though it’s selected correctly: