It is important in that it's an indication of a robust power supply (and PS are an expensive part of the amp).
However, please note that doubling is not really possible, for a number of tech reasons. This does NOT mean that manufacturers quoting doubling are fraudulent!
What you do is, officially spec your amp at 8ohms for less than max output, which will allow the arithmetic to hold true to specs. Please note that amps capable of dealing with difficult loads (i.e. low ohm loads) are considered good designs and trustworthy.
However, please note that doubling is not really possible, for a number of tech reasons. This does NOT mean that manufacturers quoting doubling are fraudulent!
What you do is, officially spec your amp at 8ohms for less than max output, which will allow the arithmetic to hold true to specs. Please note that amps capable of dealing with difficult loads (i.e. low ohm loads) are considered good designs and trustworthy.