Well, it depends if its resistance rises or lowers with temperature increase. Also, if the BMW sensor is a 6K for example, it may heat more or heat less depending of the difference.
You can try it. It will either control well, or won't heat at all. Just connect the sensor of the new mat to the grey and the brown wires of the BMW and disconnect the grey wire going to the BMW mat.
Doing remote diagnostic is not easy. Please use this information as suggestions and at your own risk, considering I've done that on a X5 and not a 330.

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