Thanks for the suggestions.
I tried watching the brake light whilst my wife was driving... no flicker, it looked fine
I could not see a individual earth for the brake light, it is a multi-plug for all the boot based lights. I guess they would all have a problem in that case.
At least replacing the brake light bulb is easy!
Hot tip for anyone trying it... snip the thread across the split in the bootside cover - it makes it so much easier to get at the bolts & plug