I'm not sure about the gain difference, however the patterns and operational bandwidth will change. A spiral in a metal cavity will have an approximate octive bandwidth. When the caity is loaded the bandwidth is greatly increased. The max gain is typically acheived when the cavity is .25*lambda (wavelength). Think in terms of an image (or dipole over a ground plane).
Reference: "Antenna Engineering Handbook" second edition by Johnson and Jasik, chapter 14.