GSX doesn't have any control over AI or how they appear.
When you say "I have been spawned", you mean using the MSFS standard menu, or the GSX menu with the "Warp Me here" feature ?
If you mean the GSX Warp Me, the AI won't be automatically removed after a Warp but, it will as soon as you start GSX services. This is of course made intentionally, to not destroy an AI in case you changed your mind and wanted to move to another gate, so they are only removed when you actually start GSX.