A few new discoveries.
1. If external clocking is used, the clock frequency can be swept to shift the center frequencies of the 7 filters. If this is done, before strobing the multiplexer, the peak detectors will store the highest magnitude over the swept frequency range. This is nice, because the filters are fairly narrow, leaving considerable gaps between them that sweeping can resolve.
2. The device operates well at 3V supply voltage. The offset voltage is lower at 3V than at 5V. Also the gain of the device scales with the supply voltage, which is good for applications with varying supply voltage and the supply voltage is also used as the reference for an ADC. If you input an audio tone with a fixed amplitude, the output of the device will change linearly with the supply voltage. That came as a bit of a surprise to me (although a nice surprise), as I would assume there is fixed gain ahead of the peak detectors.
3. I've clocked the device as high as 300 KHz with no problem. It may go higher, but that's as high as I want, or need. Clock duty cycle is not important, but should avoid extremely low or high duty cycles because the 10K series resistor in combination with the internal capacitance gives limited rising and falling clock transition slopes (1 us or so) at the device clock input.