If we look at the data in the Jeff Bagby measurements (few posts before) and the ASR review of the KH420, we can see that the ATC dome have lower harmonic distortion of the two, -70 dB vs -58 dB 3rd harmonic around 95-96 dB at 1 m for example. But both performance is very good IMO.
Edit:
In the case of the KH420, the 3rd harmonic distortion rise between 1-2 kHz can also be the distortion of the tweeter because the crossover is around 2 kHz.
Anyway, the ATC dome can easily be used above 3 kHz, which means less load on the tweeter. We don't know how high the Neumann dome can reaches in the spectrum.