A bit of an update.
I have now successfully installed a rear LED that lights when the rear screen has power than can be seen from the rear view mirror (as it was easier than running cabling to the front of the car).
The method I used was as follows, having disconnected the battery and got all the bits out of the boot including the spare wheel and its boot floor cover. Don't shut the boot with the battery disconnected, as it won't open with the key fob (obviously) which will just be added inconvenience. I am not a qualified mechanic or auto electrician; if you choose to have a go at this, you do it at your own risk. There might be errors in what I have written, so if you are not sure, check with someone qualified.
1. Remove the rear lower plastic cover over the boot latch (2 plastic nuts and it pulls off with a tug).
2. Remove the luggage netting mounts in the front of the boot next to the rear seats and down the RHS. This then allows you to;
3. Remove the front plastic boot tray. This then allows you to;
4. Remove the RHS boot liner (there are 3 plastic rivets that prise out and a plastic nut). You can now see the rear SAM.
5. Remove the rear bench and seat back, the airbag C-pillar trims, and remove the two front plastic rivets from the hat shelf (you don't need to remove the two harder to reach rivets right in the corner near the window. Be prepared for a tab to snap off the "AIRBAG" plastic trim pieces; for my black interior the part number for the LHS piece is A2126950130. A good (but quick) video here:
YouTube - Removing s212 rear seats and hat shelf
6. Run some suitable red/black twin 22AWG wire (parts list below) from the rear SAM, following all the existing wires and trunking to get near the RHS rear seatbelt pretensioner wiring. I used auto electrical cloth tape during a lot of this process to secure the wire to the existing loom.
7. Lift the front of the hat shelf and run the wiring under the foam insulation to near the LHS seat belt pretensioner wiring, plus about 2 feet to work with. Secure the wiring under the foam insulation with a couple of small cable ties. Make sure it won't be fouled by the centre seat belt.
8. Run the wiring up the conduit towards the top of the C-pillar, and join the pre-wired LED to the new wire you have installed (red to red, black to black). I soldered the wires together and put slim heat shrink over each joint, and then thicker heat shrink over the lot. Don't forget if you are soldering around the car, put a thick towel down just in case. You could also use crimp no-solder connectors that you heat gun afterwards to seal the connector plastic shroud.
9. Drill an 8mm hole (depends on cap size) through the front of the RHS AIRBAG trim clip, and push in the LED mounting cap (I needed a turn of black tape on it to make sure it was secure).
10. Push the LED through the hole in the RHS C-pillar for the AIRBAG trim clip. Reinstall the C-pillar trim. Put the LED into the cap from the rear of the AIRBAG trim clip and reinstall the clip. Make sure the LED wire is not fouled by the seat belt (otherwise it will rub through the wire).
11. Install a quick acting 5x20mm inline fuse holder on the red wire in the boot (near the SAM).
12. Install a 5A (Red) bullet connector on the very end of the red wire.
13. Remove the 3x 10mm nuts holding in the rear SAM to allow ease of seeing what your doing with the SAM.
14. On the top rear of the SAM is a black rectangular connector with a relatively thick (5mm?) single black lead coming out of it. The connector itself is easily removed by pushing the tab, and has part number 1685450126. It is labelled as plugging into socket 1H on the SAM unit itself. I concluded via groping around under the hat tray, and about 60 minutes of continuity testing with a multimeter that this is the power lead for the rear heated screen. Push the 5A bullet connector into the rear of this black square connector whilst the connector is still connected to the SAM unit. It's a nice snug fit and I can't imagine it falling out. If it does, the LED is fused, and this is the power source for the LED anyway.
15. Loosen one of the earth connection nuts near the same, and crush down the striped, bare metal end of the black wire to achieve a good earth.
16. Reassemble everything, reconnect the battery and test by starting the car and activating the rear heated screen.
Parts list:
12v LED 5mm with cap - £1.49
10 metres red/black twin 22AWG copper wire £3.99
5x20mm quick acting glass fuse with plastic holder 0.2A £2.07
5 amp bullet connector £1.70