No, It wouldnot, Basically it operates out of WiFi and when it is near your house, or your wifi, your presence will be registered. Then , it just a interrupt sensor running on esp-01, essentially a low pin count version of esp8266, which will give a reading of the ampere .Which more than sufficient to detect the ignition.
Sorry. I was thinking of his Mona Lisa solution which is zigbee.
Hmmm.... I wonder if a contact sensor placed across (as opposed to in line with)the battery feed to the starter motor would trip? Starters are a couple of hundred amps and will create a field. It may not be large enough or long enough but it would be easy to test and if worked would absolutely not be a vehicle system modification.
Or perhaps a Sage doorbell (Zigbee) sensor could be placed across the starter relay/solenoid terminals. That way the signal would only be sent when the starter solenoid was in the "start" position. I have used these for pushbutton type DC circuits with voltages from about 10-24VDC. (from ebay...about 5 US$)
Without being too specific as to how I know this, and without looking at the wire diagram for this particular vehicle, I don't think people should be advocating tying into things that they don't know about.
Most cars built in the last decade or more have a computer running the starter, connected to many ignition power wires and to literally everything in the car. The ignition key doesn't really do anything anymore, it is more of a request to the computer. It doesn't take much to burn out a $600 to $1000 computer, plus the labor to diagnose, install, flash the software, and so on. I have seen some cars where you have to reflash and reinitialize the whole car, and it can take literally 24 hours to do the whole process.
I have worked on cars starting in the early-mid 2000 era that really don't even have fuses or relays anymore, they rely on "smart junction boxes" which is just a sealed electronic black box with a bunch of chips inside. It is supposed to protect itself (and the vehicle) against short circuits, but it isn't always perfect.
I don't care what you put in the cigarette lighter (power outlet is the politically correct term now) or on the battery (please use a fuse!) but stay away from everything else unless you really have a good grasp of electronics and CAN bus systems in modern automobiles. Inductive pickup of the starter cable might be feasible, in fact, many cars already have such a sensor for charging system control, but there are probably cheaper, easier, and better ways to accomplish this.