Blending white and pink at the same time just makes an average of the two, it is not twice as contorted. A waveform can only be one voltage at one moment. Theoretically white/pink are all frequencies played at the same time. I personally don't think it matters what the signal is, what matters more is the amplitude.
During break in, you are trying to form a static charge into the plastic insulation and dielectrics of wires and caps. It is done faster when the current is higher. Commercial burning machines apply very high current, more than normal line source or preamp could apply.
I use the Hagtech Frybaby signal on a mp3 file, set to repeat on my Sonos. It is a couple minutes long iirc. If you PM me I will email it to you. Turn off the amp and turn up the line level volume all the way. The input caps on the amp will also be broken in, even if the amp is off.
I also like bright clear solo violin recordings because it has the most complex high freq overtones, much more complex than white noise, imo.