Remote Start - Kill Switch question

[AresROC]

So I am looking converting the hazard switch on the Bashan's to a kill switch, but a lingering question won't go away...

In the electrical diagram, connecting the Black/White wire to Green Ground kills the ignition. It works when the Bashan is turned on via key. The key turns on ignition power.

However, when the bike is turned on via remote start, turning off the ignition key would not kill the engine. To turn off the engine you have to use the remote "unlock" function, which is inconvenient. Assuming the Black/White connection is connected to the ignition key module, and grounding it should have killed the CDI signal, the remote's behavior doesn't make any sense.

If the black/white wire is not connected to the ignition key module, it would be easy to steal the bike. Simply kick start the engine and the CDI will activate.

Any insights appreciated!