"It depends".
Headroom would be defined as the amount of input signal they'll take before they clip. I doubt that there is a significant difference here.
If you mean the amount of power they'll put out - the original GB (the 'W' in this case indicated the small bottle) spec was 23W. The GC spec is 30W. This doesn't address headroom, just the amount of heat a tube is rated to dissipate. So in theory, an amp designed to use GCs can put out somewhat more power.
However, if the tubes discussed are the '80s JAN Philips/Sylvanias...they have the same guts as the GCs of the same era, they're just in the smaller envelope. Since there's less surface area for heat transfer I'd probably treat them as, say, 28W tubes, and there isn't a significant difference in performance.