Of course the story is important. For romantic reasons and because you know what you’re getting.
The alternative is to pay less for something with a sketchy history, which of course is the more common route.
As for the price, this is a 61 - not a 62 or 63. There really can’t be many of these in the UK.
Regarding the case, I seem to recall that imports didn’t come with one, and Arbiter provided their own? Might well be wrong on that, mind.