This issue has been resolved! I thought to try playing on Manjaro again, and with the EA App and Wine 6.19-GE instead of Origin + whatever Wine version I was using then it works flawlessly.
That being said, I’ve had to downgrade from the 2060 to 1060; I’m not sure if the change in graphics card is what fixed it, but I can’t imagine.
Anyone with this issue, try the following or a similar config:
Wine-GE-6.19-1
DXVK + D3D Extras + DXVK NVAPI + Esync + Fsync enabled in Lutris.
Use the EA App, not Origin.
In Lutris, configure Battlefield 4 → System options tab, put bf4.exe EADesktop.exe BF_Launcher.exe in the “Include processes” field.
Curious if this helps anyone! I’ll mark this as solution since it fixes my issue, probably.