PS4Delta is a very high level PlayStation 4 emulator, written in c++. It's quite early in the development stage and barely manages to initialize all firmware modules though is actively being worked on.
The current state of the Wine-like emulator for Linux is unknown since it's closed-sourced. That said, the only available artifact is a demo version which is a Flatpak package. Don't expect much from this demo as it is a proof-of-concept.