First things first: is the original of this a classic? Yes. Is it better than this cover? You could certainly say so if you wanted. Does that actually make this cover bad? No.
I'd say the word for this cover is 'sweet'... low key, well sung (without overdoing any of the emotion of the song), nicely arranged and definitely worth a look if you're fan of that kind of thing. If anything this is a good example of how to make a cover your own without destroying the song altogether. If the very idea of a well known song being covered by another artist in another style horrifies you for some reason, however, you'll want to avoid it.