There's actually some science behind what we're seeing, too, though I don't know if it's accidental.
The Milky Way has four primary arms: The Scutum-Centaurus arm, the Perseus arm, the Sagittarius-Carina arm, and the Norma-Outer arm. The big arms are the Scutum-Centaurus and the Perseus arms, and both of those contain massive amounts of hydrogen. In comparison, the Sagittarius-Carina arm and the Norma-Outer arm contains relatively little. Most of the Scutum-Centaurus arm is on either this side of the galaxy, or curving out towards the far side, but it gets thin by the time it gets out there. Likewise, the mass of the Perseus arm is in the Festival Grounds (near Jaques station) and curves around on our side of the core, getting thin and faint on the far side. If the Perseus arm was longer (it's the shortest of the galactic arms), then there might be more nebula on the far side of the galaxy, but as it is most of the far side has to content itself with the hydrogen-poor Sagittarius-Carina and Norma-Outer arms.