What is accurate is GPS! got google mapping on?, your well tracked but then again a throwaway phone and SIM still a very safe bet!..
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You're not kidding. My googlemaps show when I've crossed the road. Amazing. I couldn't believe it the first time i saw that happen so recrossed back to test it out. And yes, it showed up on my screen.
Re general phone security, the location tracking operates even when its switched off. (don't believe it? Read Google T&C's !) So take out the battery for peace of mind.