Why does a printer's inrush current double for 240V vs 120V?
The operating current should be inversely proportional to the voltage as you expected, but inrush is a different issue.  The inrush current probably comes from charging up the reservoir caps immediately after the full wave bridge in power supply.  Those capacitors are fixed, but get charged up proportional to the line voltage.  The current eventually drawn from them will be inversely proportional to the line voltage, but the inrush only sees the capacitance immediately connected to the power line.  More voltage on the same size cap means more Coulombs, which means more current over the same short amount of time.