Ted Edwards writes:

What are you saying "No" to? I said Iout is approximately=equal=to
Iin and you said Iout=Iin except for ... Did you fail to understand
"~="? It's the closest approximation to the standard
approximately-equal sign available in ASCII and should be pretty
obvious.

Yes, I misunderstood. The typeset math symbol you refer to does not
contain a tilde, nor does a tilde mean anything in mathematics. The
ASCII tilde as an operator in the C programming language explicitly
means "not" or "negation", and thus I understood tilde-equals to mean
not-equals.

A switching regulator might be a better analogy: Vin*Iin ~=
Vout*Iout.

Hardly. A switching regulator is just a transformer, with an DC-AC
converter on the input, and AC-DC converter on the output. This
would be analogous to my imaginary "regulator" consisting of an air
motor regenerating the reservoir, not a conventional
variable-restriction regulator.

I see. Clearly you aren't to familiar with electronics terminology.

Clearly: http://www.truetex.com/resume.pdf

It doesn't even matter what you call your electronic device. The
switching regulator
analogy just doesn't fit. Chopping current (a charge pump) is not like
expanding air (via a restriction).

I've designed an built switching regulators with over 95% efficiency.

Which proves they are not analogous to a variable-restriction air-
pressure regulator, something inherent inefficient.