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Tableau pads out most charts so that you don't get marks half-in/half-out of a viz, and most of the time this is a good thing. But I agree in an area chart this is both unnecessary and unattractive. First while discrete dates are also not the most attractive they can be tweaked a bit to be acceptable:
But if you really can live with this, then the only other option I can think of is to fix the axis:
Of course you give up dynamic filtering. If neither option is acceptable, then this would be a good one for the Ideas section. I'd vote for it.