This is our story, and I am sticking to it.
We live in Fresno, and we like to escape the insufferable heat in the Valley in summer a couple of times per year. We have an S85, and we just received our Model 3 LR.
From our home to the Eastern Sierra area --anywhere from Bridgeport south to Lone Pine is quite a drive. In summer all the mountain passes are open: not only Interstate 80, US50 and SR88, but also SR4 over Ebbets Pass, SR108 over Sonora Pass, and Tioga Road through Yosemite. We can make it home without stopping from Minden, Nevada; Topaz Lake, Nevada; Bridgeport, California; Mammoth Lakes, California. Driving eastbound I try to add about 40 miles of range to the Model S just to be safe.
We can take the roads and highways that we want without having to detour to a Supercharger or without being forced onto the interstate or US highways with much more traffic.
With the LR Model 3 we will be able to make any trip across the mountains without the need for charging until our destination.
As the individual from Astoria pointed out, the drive to LA from his home is more scenic from Eugene to Chenault to K-Falls to Reno and south. A couple of those legs are pretty long, and the long range battery allows attaining the destination with comfort.
Others drive between Winnemucca and Boise on US95. Most need to stop en route for 30-45 minutes. There are probably scores of fun highways that do not have Superchargers, and might not get them for 5-10 years, but the LR battery will enable those drives.
The Long Range battery will also permit more choices to Supercharge on a road trip. For example, one person might want to take a nice lunch to attain a 95+% charge and then be able to drive for almost four hours before stopping to recharge or for the night. Another might want to depart with 95%, drive a little, charge a little, drive a little, charge a little, etc until he reaches 12-18% before a lengthy charging session.
In a vacuum, the additional $9,000 might not be worth it. Those funds will buy a lot of miles renting an ICE. But nothing--nothing--beats driving an electric car through the mountains or on fun rural highways and byways. There is no price tag on that!