So the question that I keep coming back to after reading a bunch of threads containing info about input impedance is this:
If higher input impedance is really the best for all sources, why do so many units - from mic preamps to instrument preamps to combo amps - offer a choice of input impedance settings? Heck, even my ancient Polytone amp had a Hi and Low input choice. If higher is always better, why bother with low at all?
EDIT: Double MIDI - when i use the HFPre, I put it in the FX loop, so either way the whole circuit is being used, just in different order.
Chris-- The specifics of your Polytone aside (see shwashwa's post), you are quite correct that many amps offer low- and high-impedance inputs. The low-impedance inputs are often labelled or referred to as
"passive" "active" or "instrument" inputs. They are in the range of 100k ohms or so. That's the range of optimal loading for, for example, BGs for which the signal is generated by typical magnetic pickups.
High-impedance inputs run in the range of 1-10 Mohms or so. Those input impedances are what typical active devices such as pre-amps and active effects devices should "look into." The optimal loading for those devices runs in the Mohm or tens of Mohm range.
Now, as it turns out, piezo pickups,
although passive, are devices that are optimally loaded by high impedances in the Mohm (or tens of Mohm) range. The statement about higher being better is one that is restricted to those types of pickups and is not a blanket statement referring to all kinds of devices. I agree with what MrSidecar posted. For piezos, the idea is to have the input impedance be high enough so that the lowest desired frequencies are not rolled off. When the input impedance is too low, the low-frequency response is lost, leading to the "honky" midrange-heavy sound most of us despise. See
here.
MrSidecar was careful to say "within reasonable limits." Once the input impedance is high enough, increasing it to substantially greater values can invite noise and unnecessarily reduce levels.
So, why not have a variable impedance knob? Well, the reason is that, functionally, it would basically be a control that allows the user to non-optimally load the piezo pickup. The control would basically be a poor high-pass filter. A manufacturer might include one because users want it. That's the marketplace. If people want that and enjoy it, they should be happy and go in peace.

Manufacturers have dreamed up all sorts of tone-shaping controls that people seem to like.
Here's my take. Typical piezo pickups are best loaded by impedances in the 10 Mohm range. Such loading maximizes their low end. A well-designed high-pass filter, such as that included in the fdeck device, can then be used to rid the system of pesky infrasonics that, despite the effective high-pass filtering of the input loading, can find their way in. The high-pass filter can also be used to tame "boominess."
After that, it's a matter of the use of well-designed tone-shaping controls.