I am a Western hiker, living my whole life in the Southwest. When I married my wife, we would visit her family about once a year, and we hiked a lot in the Appalachians generally along the VA-WV border. The differences (to me) were many, but subtle, and enjoyable.
Yes, everything is much much greener back east than out west. I also noticed that you hear more birds while hiking back east. Trailhead access seems to be a little easier also. Out west, trailheads sometimes are at the end of a 10-mile 4wd track that takes an hour alone to drive.
The surrounding "culture" seems to be supportive of hiking as a pastime (many of our hikes were near the AT). No one asks you if you "do this for fun" or "you're from the cell tower company" (or worse)
Certain tactics differ. Back east, it's not necessary to be hiking at dawn to beat the thunderstorms (usually).
I thoroughly enjoy our hikes in the VA/WV areas. But I do miss the long expansive views you get out west. When you get a long view back east, the distant hills fade into a bluish mush due to the humid air. In the west, you can see shadows on ridges 50 miles away.
Of course, out west, everyone is better looking, stronger and smarter.