Ok, I think I figured this out. I again acquired a spectrum (4000 sec) on Bi metal at 15 keV, but this time at 2 nA which gives a deadtime of about 16%.

Now that the coincidence continuum x-rays are further reduced, I can convince myself that my high voltage on my gun is actually quite close to 15 keV.
So I guess the lesson is that if one wants to see the Duane-Hunt limit clearly, you should keep the deadtime below 20%.