You could test it with a meter. Probable one or more contacts are burnt and either not making contact or have welded themselves closed. If you have the patience you could disassemble the switch and see what has gone wrong , you may even be able to perform a repair on it . No guarantees as to how long it will last afterwards. Have you replaced both rear bulbs correctly?
I was hoping to do a continuity test, assuming that one of the 4 prongs was the feed, another the earth, and the other two prongs being the pair of brake light bulbs in the lighting clusters and the tailgate strip. But I only just discovered my multimeter don't do continuity.... that's how lecky smart I am.
All prongs are clean and undamaged.
If I disassemble and end up with a random handful of bits springing across the room, I'll end up with not even a tailgate brake-light. There's now one on it's way to me courtesy of Special Edition, so I'll wait 'till I have a working replacement before I potentially destroy this one.
Yes both bulbs inspected, contacts cleaned, and properly re-installed.
One thing that did trigger some cogs going round up top was someone mentioned their radio crackled when they braked... and confirmed a defective brake switch. Mine doesn't when the switch is actuated, but the radio DID... very quietly... crackle slightly when I waggled the disconnected terminal block and wiring loom. I wonder.....
We do have another vehicle... a motorhome... so are not without legal/safe wheels, so I'll wait 'till Special Edition's spare switch arrives before I either start ripping wiring looms out or (more likely) call an auto electrician.
When I passed my test it was legal to use hand signals to indicate slowing down and stopping... and indicators were quaint little illuminated arms that flipped out the door pillar of the car... but even if still legal, I bet that would carry no weight with a rear-end pile-up insurance claim.
Last minute edit...
I have now managed to test the switch on a multimeter to see which of the four prongs were passing current, and it seems that only the middle two do so... regardless of any plunger waggling, while all other combinations of the 4 terminals don't register a thing. This leads me to tentatively conclude that the thing is b****red.... I hope.