Thats strange, the new accords if the alarm is on and the door unlocks without key alarm goes off...

Like I left my windows down, and armed my alarm. Reached in and poped trunk, alarm went off... Did all again, but unlocked doors instead of trunk and alarm went of. I didnt even open the door just unlocked it...

Maybe you can find out how they do it on the 03 accords and do the same. Or just get a motion sensor like my old alpine alarm had so if someone is to close to the car it chirps, and if they stay it goes all the way off...