Personally, I don't like the term range anxiety, it sounds like a fighting term from the gas car industry and also doesn't take people's worries seriously. My problem is completely different: If there was no Model S, I would be totally happy with an e-car with 140 miles range. But if I can get another car for a similar price with twice the range, I'm going to buy that instead.
It shows to me that VW (like other established brands) is not doing the technically possible, but half-hartedly quickly making an electric car, just so they also have one. The e-Golf AFAIK uses the same platform as most VW (and Skoda etc.) cars, where they crammed the batteries in there where there was space. Teslas are designed from ground up for electric, and the whole car underbody is basically a battery.