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I don't know the legalities of a remote start, but in NSW you legally have to switch the engine off if you're more than 3 metres away from your vehicle. That would make the remote start fairly useless.
Public areas are defined as areas accessible by the public. So carparks are public places unless they are accessed via boom gates/etc.
Do a high smoke circle work skid down at Coles and see if the magistrate lets you off!!
Remote start would be interesting considering it's technically illegal.
Just to add, it's not illegal to give your engine a kick in the guts if its in your garage while your eating your corn flakes. As for doing it in the streets its only illegal if you get caught and as far as pointless well then making cars that can go faster than 110kph is pointless as in NSW that is the maximum speed you can go.