Faulty alarm?

My vx has a factory installed keyless vehicle security system!
WoW!
What does it do?
Well when I leave the vehicle and press the lock button, it beeps and the alarm is armed!
So?
If I open the door with my key,the alarm goes off!
That's o.k. then?
No, cause when I put the key in the ignition and turn it , the vehicle starts and the alarm stops!
What kind of a disabling system is that?
I don't know, but maybe one of the vx drivers does!

I think Isuzu is assuming the person stealing your car wouldn't have a key.