Your apitrace is an OpenGL apitrace and pretty much empty. Please make a D3D9 one following this guide: https://github.com/Joshua-Ashton/d9vk/wiki/Making-a-Trace
(The download link in that is dead, you can just download it from the apitrace website instead.)
My bad. I've updated the original post.
The vinyl was visible when you made the trace, right?
It doesn't show up when replaying with DXVK 1.7 or Nvidias D3D9 driver on Windows.

No, the trace was captured with 1.7.1. I'll capture another with 1.7.
Added 1.7L-9f6f6a7 trace to the original post.
Nothing extracted yet.
With DXVK 1.7.1 in Lutris, the vinyl stickers on cars in Soapbox Raceworld don't render.
They say a picture is worth a thousand words, so here's two:
1.7L-9f6f6a7

1.7.1

Software information
Soapbox Raceworld (Need for Speed: World) in Lutris, default settings except for DXVK enabled and MangoHud.
System information
Apitrace file(s)
EDIT: nfsw.trace.tar.xz
EDIT2: nfsw.trace.17L.tar.xz
Logs
1.7L-9f6f6a7
nfsw_d3d9-1.7.log
nfsw_dxgi-1.7.log
1.7.1
nfsw_d3d9-1.7.1.log
nfsw_dxgi-1.7.1.log