I have considerable experience with vintage WE wire as well as the newer Duelund wire and I have constructed SCs and ICs from both, as well as PCs using the vintage WE wire.
Both the vintage WE wire and the Duelund wire utilize tinned copper conductors and a cotton outer covering but there are differences in the sound. I believe the "vintage tone" mainly results from the conductors made from many strands of 30 awg tinned copper wire. The NOS WE wire also has a PVC coating inside of the outer cotton cover, which I suspect may affect the sound. I would not know whether the annealing process would have been similar for both the WE and Duelund wire.
IME, the vintage WE wire displays a smoothness and rich tone that the Duelund wire doesn't quite match. Some believe the Duelund wire is more extended in the high frequencies but I find the vintage WE wire to be suitably extended, very smooth, and tonally dense. TWL has received positive recognition for their American Series Cables that are constructed from the vintage WE wire. I believe this wire performs best as speaker cable and power cords and is not as strong a performer as an interconnect, but that is just my opinion. My only experience the WE wire is with the authentic, vintage, KS13385L type wire.