(Personally, I am against remote starters for several important reasons. They're dangerous, they waste enormous amounts of gas, and they pollute. Not to mention that most areas have anti-idling laws that you are breaking).
If the neutral safety switch is bad, then the car can lurch forward or backwards on startup (if left in gear). Also, an idling and unattended car is dangerous for other, more obvious reasons (ie. curious neighbourhood kids).