The reason those 'big brown areas' exist is that practically nobody lives there. The odds of another aircraft being in the same wedge of high class G are slim to none, the odds of another fool poking around in the clouds in the same wedge of high class G are unmeasurable.
That was never the basis for Class G airspace. It was the lack of IFR airports, not people per se, although there is an indirect relationship.
In a different era there were three stratums of airspace, high, intermediate, and low. Only the low filled out in the east and the population centers of the west coast.
Then, they went to high and low and someone at the Puzzle Palace decided all airspace 14,500 and above, up to the base of Class A, should be known as the Continental Control Area, which extended upwards to the base of Positive Controlled Airspace (Now Class A), which had a floor of 24,000.
Then, circa 1965 the floor of PCA was lowered to 18,000 rendering the Continental Control Area mostly useless. Why didn't they just lower PCA to 14,500? "No way" the Puzzle Palace gurus decided. 18,000 feet was predicated on the high mountains in the Rockies and the west coast.
In the past 15, or so years, the advent of GPS-based RNAV has made possible instrument approach procedures at airports that previously had no IAPs. No IAPs means VFR airport. But, when one or more IAPs is established beneath the remnants of the Continental Control Area the Class E airspace must be lowered to 1,200, agl (controlled airspace extensions), to contain all segments of the IAP, except closer to the airport it must be lowered to 700, agl (transition areas). Where commuter airline service is provided, then a Class E Surface Area is often established closer to the airport; provided it has communications with ATC to the surface (FSS works for this) and weather reporting service.
Thus, the brown areas are slowly growing smaller. But, the FAA won't extend control area extensions any further than is (in their narrow view) necessary, so now we have many chunks of meaningless little brown areas.
The big brown areas around KBCE and U55 (Utah) disappeared two years ago when those two airports became IFR airports.
The brown areas around Dillon, Montana will shrink because that IFR airport is getting two new RNAV IAPs. The same for Eureka, Nevada, which is in about as people-less area as you get in the lower 48.
Roundup, Montana, presently a VFR airport, is getting two RNAV IAPs this summer, both with TAAs. TAAs require a lot of Class E airspace. The Roundup area has only small "artifact" chunks of the former Continental Control Area, but it has a lot of that "nether-nor" airspace, some with bases of 10,000, and some at 6,700 (both well above 1,200, agl).
A lot of people in the business feel that all remaining Class E airspace that is higher than 1,200, agl, should be brought down to 1,200. But, the gurus at the Puzzle Palace apparently feel that would cause too much controversy in the rule-making that would be required.
But, when they whittle away at it piecemeal, often the NPRMs receive no comments at all.