Unfortunately, you will never hear the songs in the game the way they are heard in the editor. They are processed in the game itself. The levels are predefined and cannot be adjusted via wem file. It always depends on the superstar and song. Unfortunately, you can't do much more than change the volume and, if necessary, process it externally. For some it has helped to edit the songs outside. Our 'pros' here can certainly tell you more about that. But didn't you make the Jericho AEW entrance? I actually found it pretty good there...
There is also an option to directly edit the songs in Wwise and convert to wem there. There you may have even more options. Maybe it's a detail that gets lost when converting. But you can easily check that by taking a song from the game, export it and then insert it somewhere else. Does it work better then?