Anyway, heres something that may help with this issue.
When I launch homecoming.exe app without tequila (I know, the only way the game will work is through tequila, but I did this for test purposes) with the following command from command prompt (run as admin):
start "" /AboveNormal "D:\Games\CoH\homecoming.exe"
The game opens and in the brief time it remains opened until it is closed again, I could check in task manager that it was launched with 'Above normal' priority.
So the problem is that Tequila set, in some way, the priority of the process to 'below normal' on some systems. Maybe the workaround may be something in tequila.xml file. But I dont know what it could be.