UPDATE - Potential Battery Issue
Installed last night and came out for test today. Odd that door was unlocked. When I started I noted that it took a while to bring the battery up. Based on that I am leaning toward the potential of battery drain from these LED alone (your setup might be different). This would make sense if the computer tests to see if the bulbs are OK by checking resistance. So I am now trying a voltage regulator for the LEDS. (image 1)
These little things can be set for a specific output voltage and will hold that output even if the input goes up. In the past I have used them set output to about 11.5V and they keep LED cool and at a stable brightness no matter that the level of the charging system.
The original bulb reads as 2.04 Ohms, while the LED strip reads at 0.17 Ohms. A reading that low from the LED would confuse the computer if it was checking the circuit. It might keep the computer awake, similar to the previously noted problems with LEDs in the backup lights. When the regulator is installed the resistance is now 150K Ohms. Being on the high side the computer should now think the bulb is fine. Should know the results by the morning.
Actual install was simple. Set the regulator to the desired output, wire it up line with the light (image 2) and heat shrink it all up (image 3).
... jpmg ...