I would suggest calling the airport managers office to find out...however, I'm going to bet that their response will be "if security or privacy is that much of a concern, we suggest using a private aircraft and the Signature Flight Services FBO on the field".

I don't see how any celeb would justify special security lines or private entrances/exits - most other celebs that are mentioned in FT go through the same doors and procedures as everyone else. If they are an elite, or flying paid FC, they are entitled to shorter security lines and pre-boarding.