I don't think installing FAF on the same partition as the vanila game is the main issue. If that was the case then the entire game will not work.
But i will try it anyway to narrow the posibilities.
I have found another log file in C:\ProgramData\FAForever\logs\iceAdapterLogs
ice-adapter.log
and in C:\ProgramData\FAForever\logs
client.log
maybe will help.
Yesterday i have downloaded latest version FAF(1.4.4), now there is 1.4.6, hope this will be better to install.
PS: By the way how the updates are pushed to device: auto-update, need to manualy install FAF from https://www.faforever.com/, downloading the client?