Can the sensor wire(s) be cut at the sensor and new wire(s) soldered to the sensor lead(s) and connector plug?
If only the wire(s) are bad, why go to the $$ expense of replacing the whole sensor unit, unless there is something special about the wire?
My electrical diagram shows a 'coaxial connector' between the sensor and the control unit, and from this connector to the sensor, a pair of wires (left is 1 Gray/1 Green, right is 1 Red/1 White) with a caption 'wires are twisted'.
(I'd go out and look for myself, but the baby is in storage right now. I'm having an intermittent ABS warning light problem with low speed anti-lock similar to th OP's)

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1986 560SL
2002 Toyota Camry
1993 Lexus