I purchased a universal 4wire o2 sensor but the color of the wires are different than the ones on the old one. Which color wire goes to which?

The old one has 2 black wires, 1 green wire, and 1 white wire.

The universal one has 2 white wires, 1 black wire, and 1 grey wire. It is a borg warner universal o2 sensor part #OS703

I am running a OBD1 JDM b18c engine in my EK. My guess is the 2 white wires go to the 2 black wires, the grey wire to the green wire, and the black wire to the white wire. Am I right? I just wanted to make sure before I start. Should I look for an OEM sensor? Any other suggestions would be helpful as well. Thanks very much