Maybe I wasn't clear. I'm not saying that it won't work, just that it has errors that you might have overlooked. There is actually no way to change one pot value to another without introducing errors of some type or another. The total impedance of your circuit will change with the position of the wiper. Again not by much, but in some circuits that would be a problem. As Mark mentioned in another post that this is a true voltage divider, the load you present to the reference voltage will vary slightly with wiper position. How it behaves with an ohm meter is not quite how it behaves in circuit under load. But you should be able to see the issue if you measure the resistance from the two outer terminals of the pot. That should be a constant, but the way you have it wired up there will probably be some changes as you rotate the pot. It will be correct at each end but drift high in the middle. Resistance is not really what this circuit uses for the adjustment anyway. What you are looking for is a smooth voltage transition from ground to the reference voltage. I believe Mark mentioned it was 5V, so in a totally linear system it would be 2.5V at mid travel. Again there are a lot of ways to play with this to get different types of voltage curves. But for a flat linear curve a single resistor will do better even though it won't seem that way when measured with an ohm meter. Of course ideally the best thing is to just use the right pot, or a close substitute.
Long arc, short arc, heliarc and in-the-dark!