I would imagine the issue is that the button itself needs power to turn the engine to run mode while with a physical key you can still do that without power. You can do this with a dead battery in manual cars with physical keys because all you are trying to do is get the alternator spinning enough to start the engine.
With this in mind I am pretty sure the 2015 won't be able to do this with a completely dead battery but I am wondering if it case do it when the battery is too weak to fire up the engine.
Correct. Comes down to a keyed system using a physical switch to route power vs. a keyless system requiring an electrical switch to route power. You can't start an engine if you have no method of routing alternator power to the ignition system.I would imagine the issue is that the button itself needs power to turn the engine to run mode while with a physical key you can still do that without power. You can do this with a dead battery in manual cars with physical keys because all you are trying to do is get the alternator spinning enough to start the engine.
With this in mind I am pretty sure the 2015 won't be able to do this with a completely dead battery but I am wondering if it case do it when the battery is too weak to fire up the engine.
Correct. Comes down to a keyed system using a physical switch to route power vs. a keyless system requiring an electrical switch to route power. You can't start an engine if you have no method of routing alternator power to the ignition system.

In the owner's manual it should say you have to hold it for 3 seconds to turn the engine off if the vehicle is in motionspeaking of which. due to the location of the push start button, im wondering if its possible to accidentally turn the car off while driving.
I stand corrected - haven't had a need to push start in a long time (always carry jumper cables). Now my 1979 Capri on the other hand...... There hasn't been a physical ignition switch installed in a car for many years, probably a decade or more. Everything uses relays now.