The A/D converters use the same processing power whether they're converting a big signal, a small signal, or no signal at all.
Most important is to make sure you're not clipping the converter. That's why you set the Input Level using the hottest pickup on your hottest guitar.
The signal-to-noise ratio is of secondary importance. But the Axe's converters have so much dynamic range that the noise of your guitar will dominate, not the noise of the converters. So you don't have to worry about whether you're tickling the reds with your lower-output guitars.
This question comes up all the time, and the answer is always the same. If only there were
a wiki article about it. Oh, wait...