[..]
I am not involved with a museum. but I do try to preserve the computers
(and other objects) that I own. However, I do keep them operational, I do
run them from time to time The reason is essentially your '5.7' -- A
computer was designed to run programs, that's what makes it ineresting.
It is not a piece of fine art, to be used for its appearance.
  5.7   Demonstrating an object in motion can add
immeasurably to our
 understanding of its
      purpose and significance; riding on a transport exhibit designed
 to carry passengers not
      only shows us how it was made and controlled, but demonstrates
 conditions of life for
      those who worked on it or used it. A visitor who has never seen
 textile machinery at work
      will have difficulty understanding a static loom, let alone the
 working conditions of
      Victorian mill-hands. Running an early computer gives an unique
 insight into early
      computing practices.
 5.8  Operating an object may also actually contribute to its
 preservation, eg through distributing
      lubricants or varying stress points.
 5.9  Operating an object may also help to preserve or rediscover
 appropriate skills.
 5.10 However, operating most mechanical objects will inevitably result
 in their wearing out. At
      the very least surfaces will be worn and information thus be
 lost; at the worst the object 
This depends o nthe object IMHO. Let's take an example I can see from
where I am sitting -- the HP9810 calculator. If I run the card reader in
that then the motor brushes will wear. But what is lost if that happens?
It is obvious to anyone whp/s ever seen a DC permanent magnet motor that
there should be brushes on the spring metal arms. OK, the lenght of the
brush that was there when I got the amchine is lost _but since I didn't
have the machjine from new, that's not the length of a new brush_. It's
the length of a brush after it's been used to read an unknown number of
cards. So I don't think that's particularly improtant.
Of course it's entirey reasonable to measure and record information
about the machine when you got it -- diameters of spindles, thickness of
motor brushes, resistance of a themral printhed (this increases as the
head wears). inductance of magnetic heads (which will drop as the head
gap wears), and so on.
       will end up like the proverbial Grandfather's
Axe, with little or
 nothing preserved from the
      days before it entered the museum. 
I think that's unliekly. In most machines, and certainly in computers,
there are parts that are not going to wear out or fail just becuase the
machine is used. For example, it's very unlikely a computer PCB would
ever be changed in a museum exhibit. The actual board will be the one
that was in the machine when you got it. Components _on_ the board
might be changed, but not the board itself. Similarly case parts are
lilely to remain original.
As I said I run my machines. I don't run them 25/7 of course, but I do
use them. And I would estimate I've changed mush less that 1% of the
components in any machine I own.
-tony