12.5V battery is quite good charge. as long as it does not drop with ignitinon on very down (e.g.very poor real state no matter of seems charged when unloaded), then no reasons to take into account such.
FYI, I took MY20 unit on my desk, plugged power between display and ETM purple connectors, seen like 0.25V going slowly down. Later I seen only 0V, but I found some signal cable between ETM and display, plugged this, and once I managed to see 12.2V across display power (I have 12.8V on input of ETM). But only once, then it disappered and no matters of power ups/disconnecting cable, even brough some cracked MY20 stelvio display for change, it never re-appeared. So, guessing there is some logic, possibly this unit was freshly taken out of car where it worked, and maybe still allowed display power up attempts, but now without CAN got to deep sleep or so and does not try display? WIth current possibilites and lack of time, I can't do more testing on this. In a few months time I start work on CAN device, then I could expriment with this, when I have all setup/running, all sniffers/simulators/software/cabling/have records from car - then quite easily could try to simulate car on desk and so run ETM fully on desk with display.