Thanks to AnalogSteph , the LTspice file is attached. If you choose to run the simulation, you'll almost certainly need to place your own opamp component.
I just tried using an Analog Devices opamp in both the LPF circuit and the BPF circuit. Indeed, the LPF shows lower distortion than the BPF filter. As you said. So, probably a fully active BPF is a dumb idea. I need to look at that more.
But, adding a .33uF in series with the input, or 33nF in the case of a 10 KHz LPF, adds no distortion. It just isn't as effective at low frequency rejection as the fully active BPF. No tuning, either.
I also tried a slightly different BPF topology. It's not quite as aggressive in rolloff, but it produces pretty much the same distortion as the LPF design. At least in simulation.