Indeed, early sensor model is inductive, later model is hall. Different sensor, different electronics altogether. Splicing is no use.
The early style sensor is used on the ABS5.3 units, the newer ones on the ABS5.7.
Teeth should be the same.
So you could also swap the ABS unit out to a 5.7 and swap the front sensors ;-) Oh, that wiring has many differences as well, most obvious ones being the connector on the ABS and that speed is send over CAN instead of a dedicated VSS signal.
For you, by far the easiest is to get a correct sensor. You could get a used one, but most dismantlers keep them in the wheel carrier for obvious reasons. I managed to get some wheel carriers for under $50 which included the sensors. Cheaper than a new sensor it seems