Is it quirky that this expression doesn't instead mean 'the next Wednesday that will occur'? Yes, definitely. But I don't see how it's difficult to describe what it actually does mean.
That's the way it's supposed to be, at least as spoken in the part of Scotland from where my family hails.
But the Americans I know seem to get it wrong about half the time.
What I haven't figured out is if it's a regional (dialectical) thing, or just certain people being "dense", or simply never having been taught the rule.