Low brake fluid doesn't affect your current braking - it's a reservoir of 'spare' fluid in case of small leak or compression of the fluid.
If they are testing the system, stripping it down, replacing crush washers and seals, new fluid and inspecting the callipers and seals maybe, but brake fluid on it own? Nope.
Aren't the carbon brake callipers yellow? Red are usually steel brakes and pads on the F-Type.
Plus 9000 miles for brake pads? Thats not much.