Giving Guidance
Once a Host arrived at the System World, his/her System can choose to extract itself from their body. The Host wouldn't die even after the System leaves the Host body.
Though, if the Host remained there for long, they would be destroyed by the laws of the System World.
So, Compass Carburettor was aware that the System in Straxia's body could be extracted as a Luck-Based System could enter her next.
With all System based abilities sealed, irrespective of what System it was in the Host that had arrived in the Gaider Realm, there would be no difference whether the System was in them or not.
But, Luck-based Systems were different. There should be a way for them to raise the innate luck of the Host. This way, they would be tremendously lucky even after their System abilities were sealed.
This was the advantage of the Luck-based Systems, so only they should be coming after him now.