That is hall, not inductive. Inductive uses a current transformer. Hall uses a semiconductor (hall type) sensor. Induction by definition involves a change in current and/or magnetic flux. With DC there is no change. That is why inductive sensors will not sense anything when exposed to DC current. Hall type senses absolute magnetic flux so can sense AC or DC.

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1998 C230 330,000 miles (currently dead of second failed EIS, yours will fail too, turning you into the dealer's personal human cash machine)
1988 F150 144,000 miles (leaks all the colors of the rainbow)
Previous stars: 1981 Brava 210,000 miles, 1978 128 150,000 miles, 1977 B200 Van 175,000 miles, 1972 Vega (great, if rusty, car), 1972 Celica, 1986.5 Supra