Hi Marshall,
You are asking me to "disprove a negative," which from a purely scientific standpoint would be a waste of time. Does the fact that almost all the marquee cafes use Synessos or LMs prove that these brands produce better espressos than other brands of espresso machines? What is the evidence of that?
The high end cafe community is rather clannish and this is self-evident (although I am sure that there are individuals within it who hate each other). They tend to do a whole lot of things in their cafes in lock step, more because this is what everyone else does than for any other reason. One only has to skim a few threads at coffeed.com in order to know that this is the case. When you look at the real innovations that have come out in the last decade or so, most of those that I am aware of came out of the enthusiast community (e.g. from people like
us) rather than from cafe owners. This is one reason why I glance over this board and very seldom go over to coffeed.com. On those rare occasions when I do go over there, it is usually in search of some nugget of knowledge and I very seldom end up finding it over there.
We all have certain things we do in our regular espresso routines that we accept as having validity, but on closer inspection one can have questions. For example, although the 5 gallon bottled spring water you (Marshall) use for espresso has certain chemical similarities to that produced by a Cirqua system, do you have any actual
proof that it produces similar espressos as you would get from the aforementioned Cirqua-type system? I would suggest that you'd need to do a side by side comparison of what you get with what you are using vs. Cirqua vs. another cheaper option such as filtration followed by a cation softener cartridge in order to
really know what was "best." Otherwise, the inference would be that one could dispense altogether with coffee cupping and tasting in favor of basing decisions on what a TDS (and maybe also PH) meter would show to be "optimal."
As to what sort of regimen will produce the "best" espressos, obviously this is open to question and is determined in part by personal taste. I may prefer espressos made with single origin coffees made with 14g in a double basket whereas you may prefer signature blends dosed as 21g in a triple basket. This doesn't (necessarily) make me right and you wrong
Finally, the variations in what we can do in making espressos are almost endless, and we all must decide for ourselves when we have reached the point of diminishing returns. I have asked quite a few well known people in this community what
they do with
their water, and for the most part they don't do a whole lot with it. I don't know any home enthusiasts personally who take a Cirqua-like approach, although I am sure that they exist and they will respond to this sentence after they have read it

As another example, I am (I think) a pretty decent home roaster nowadays but I am certain there are many high end commercial roasters who do a better job. I could, of course, pay an exorbitant sum to have their best coffees sent by air freight from wherever in the world they are located so that I will receive it one day after roasting. I don't do this because I have reached what I would define (for myself) as the point of diminishing returns.
I would submit that for many serious home enthusiasts, they have reached their own point of diminishing returns where switching from their own water solution to a Cirqua-like (or Bunn-like, whatever that is) system will add sufficiently little that they have determined, with good reason, not to change what they are already doing as regards to water. Dealing with scale in the boiler of an espresso machine is not a trivial maintenance exercise, and those who invite the need to do that must convince themselves that their time and effort in doing so will be rewarded in the cup. Otherwise, it is just another PITA time waster, and we all have enough of those in our lives that we probably do not need any more of them!
Fondly,
ken