I made a high poly jacket and used Smart UV Project in Blender combined with Triplanar texturing in Substance and it gave me a good enough result for what I needed. Nonetheless, why does it look worse in Cycles compared to Substance? I've attached my Blender and my Substance files for you to peruse. Here are some screenshots of what I mean and settings. Thanks for any help! As a side note, toggling with normals' strength didn't help much in Blender (I may just be bad at it).
If you want use the textures that you already have, you could use the following node setup to "convert your normals to Open GL" by connecting a separate XYZ, invert the Y, combining the X, NEW Y and Z to the normal map node and this is a raw result with an HDRI (you need to tweek that to make it better).
But remember that the best option is to import a proper Normal for Open GL.