Yeah, a watt is a watt, a 240v dryer will probably have a larger (more heat)heater element than the 120v dryer resulting in quicker drying but the amount of energy needed to dry the load is the same. There may be a small gain in efficiency due to the dryer motor not having to run as long.
Interestingly power transmission lines are always high voltage. It is more efficient to transmit power because the current through the wire is less at higher voltage for a given load. Less current means that smaller diameter wires can be used, one of the benefits. Automobiles will eventually use 42volt systems instead of 12 volts. One of the reasons for this is that newer technologies, especially things like camless valves require large amounts of electric energy. The size of the wires required to power these systems was getting too large at 12 volts.
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