This is correct. The only question I have is the service temperature of the DMW.
If the service temperature is at or above 800 deg F, go with Inconel all the way out in lieu of 309. Yes, 309 will work, however at service temperatures above 800 deg F a damage mechanism called carbon migration (or diffusion) along the P-5A side of the weld joint will result in increased susceptibility to creep failure.