Preferably, these 3rd party investigations should be done by a regulated entity, chosen by a 3rd party that the business being investigated has no say in, with no contact between the chosen investigative party and the business being investigated until the investigation has started.
So yes, you are correct that LTT needs to be the ones to pay for the investigation, but they shouldn’t be allowed to know who they were paying until after the fact, and they certainly should not be allowed to choose who they paid.
Lutris has an option to act essentially as a frontend for pcsx2, so in theory it should be a Linux version, but I have also struggled in the past with lutris’s versions of things like emulators not having the right permissions to run, since they are a sandbox in a sandbox.