Yea I got it to work. (Not the wiicompiled part though)
I have downloaded both wheelwizard as well as dolphin through flathub. Dolphin even provided their own flathub repository which I used. https://dolphin-emu.org/download/?ref=btn#flatpak
With flathub its a bit weird as it lives inside a container in the .var folder. But luckily WW found the path for me so I did not have to look it up myself.
Im not sure if it told me to find the .exe as well, but it would really weird if did. I can look up the path later.
Depending on your distro you can also use the package manager on debian/ubuntu its called dolphin-emu
I did not get the decompilation to work though i have read that there should be an option under some kind of “experimental” category but did not find anything like that and looking through the sources it seems like its hidden away for now. I did notice that Wiicompiled got a linux release today just some hours ago! https://github.com/patchzyy/Wiicompiled/releases/tag/v0.2.26 I will try that later.