Much of mainstream economics reduces the broad philosophical concept of value to the narrow economic concept of exchange-value or price.
And it's not warm and fuzzy: what's the "value" of an unpolluted atmosphere? What's the value of good health? These things generally defy attempts to be priced (though what attempts have been made are risible), yet are fundamental - perhaps even more so than money - to a decent human existence.
You may disagree with the value placed on these things, or perhaps value them differently than "the average", but don't assume that their value can't be calculated.
I disagree that we'd be better off if they assumed the value was infinite. Under that calculus, anything that might possibly impact the atmosphere would be banned: things like energy generation of nearly any form, which most reasonable people would agree is of positive benefit.
There is a value to it, that value is hard to calculate, but unfortunately, 0 is much closer to the real value than infinity.
Sorry to be glib, but as someone who lives with a sane system of units and measurements, I can't help but point out the irony of your statement.
Why are feet and miles the metric of distance, can't we just have near and far?
More seriously: value has to have a common unit of exchange. The grocery store clerk isn't going to give you your shopping for free because you happened to write some piece of software he isn't even aware of. Money allows value to be stored and transferred. Anything else is just warm fuzzies.