Rockstar Launcher doesn't work correctly anymore on Linux, it launches and then comes up with a login screen, you can then login, it updates the launcher and then it dissapears to the background.
I couldn't find it, I then notice at the bottom of the game page "Report a problem running this game". I clicked on and there I found the location of the log file for the prefix. So I think that wiki section needs to be updated.
I uploaded the log file because I have no idea why it's not working anymore , as a month ago when I tried the Rockstar Launcher it was still working. So I'm guessing more people probably have this problem but no one has reported it yet as I haven't seen anyone mention it yet. https://0x0.st/PbEC.log