Thanks, PawPaw! Yes. 5v regulated, both devices.
That said - it _may_ provide more hit if the 1A (1000mA) is poorly designed or over-spec'd.
The device doesn't ever source more than about 800mA that I've been able to see. The premium cartos MAY be able to use more though. In which case, the 2A is a better choice. I'm just operating on rumor and innuendo and extrapolation regarding the premium cartos - well - at least today.
The PC USB port won't source over 1A regardless [except the new USB 3, which may deliver up to 5A and at least 3A] Some powered hubs can already deliver several amps.
How much current it sucks down is directly related to the resistance of the heating element. You can't go wrong by getting a higher-current power supply. You may find it does nothing for you, it may help. But the "do nothing more" is your worst-case scenario. I run mine on a 10,000mA source.