This is really getting old.
K-value is simply conductivity. R-value is resistance to heat flow, and is simply the inverse of k-value. To say that K-value matters, and R-value does not, is absolutely ludicrous. You really need to stop believing everything you read in the product's marketing lit. That's flat out wrong, using non-standard figures for K-value to mislead even professional consumers (K-value is usually a figure based on a one inch thickness).
The Barrier is EPS foam. a 1/2" "The Barrier" gives you the same R-value as 1/2" of EPS foam, ditto for the thicker version. It's not magic, and suddenly adding in sand, gravel and the resistance of some concrete itself which is present whether you use the barrier or not does not make it better than equivalent thickness of EPS.
R4 and R5 are NOT extremely impressive, even if you want to give your product the charity of adding in those other layers (which is like adding in siding and air films to a wall insulation product to make it look good, and is ILLEGAL when marketing insulation, I might add, but hey, why quibble) They are substandard R-values in most regions of our country, though they are better than nothing. A typical R-value spec is for R10 (insulation only R-value). The Barrier is definitely better than the reflective foils
EPS foam holds its R-value when wet, last I knew. water permeability is not the issue. Even if it were, any residential slab these days should have a polyethylene barrier under it which renders that point fairly moot. The Barrier saves you a step, but it saves you a step at the cost of cutting your target R-value drastically. Another way to say it, is that it more than doubles your slab heat loss compared to 2" of rigid foam... quadruples for the 1/2" product. Now it's still not necessarily gigantic numbers, but it's real money over time. That's "Green"? Really?
I am not sure how you plan to "educated and promote green products" when you don't understand the first thing about the products you sell (as witnessed by practically all of your posts on this forum) and purport to be 'educating' people about. Perhaps you should stop trying to "educate" so much, and instead work on your own education. You had the reflective foil under slab breakthrough, so I have hope you may continue on the righteous path.
Here is your arguement for the barrier: you don't always need 2" of rigid foam. If a lesser amount of insulation is appropriate due to mild climate, exceptionally dry and sandy soil conditions, for very large slab CENTERS (not edges or perimeters), or for periodic use like snowmelt, "The Barrier" can be a fine choice.
But it is in no way, shape, or form equivalent to 2" of rigid foam. To even insinuate that it is, is either fraudulent, or based in ignorance. I assume the latter here, for you, though I can't say the same for the MFG, I believe they have already been ordered to stop using the K-value arguement in the lawsuit they settled with the FTC earlier this year:
LINK