Sadly, John, Vishay VAR can dissipate a maximum of 0.4W of heat. A speaker resistor is often rated at 10 W or more. So Vishay VAR could only work in a large and expensive array, and then you would still need another conductor.
As for obtaining the required resistance, try a multimeter? Always at least three figures of accuracy. That’s 0.1%. Most OEM resistors are 5% at best.
Yes, they use nichrome wire in toasters, and in space heaters. And in aerospace. So what? And didn't you ever wonder how a resistor works - by dissipating electrical energy as heat?