Do Amps matter.. in an Amp?

I would suggest reaching out to Chris Brunhaver for power/speaker interaction answers. Or Ralph. He answers the phone.

Your amp would likely need that much current to drive difficult load, but 60A current thru 1ohm load produces 3600W  !!!   These numbers might reflect good power supply, but have nothing to do with reality.  As for damping factor - the easiest way to reduce output impedance is to increase negative feedback leading to, in extreme case, Transient Intermodulation Distortions (overshoot in time domain).  40dB of negative feedback will reduce output impedance 100 times.  Membrane motion damping is limited to DFmax=1.5  anyway, since speaker's resistance is in series.  We don't want to make it much worse, so output impedance should be at least 10x lower than speaker's impedance.   Output impedance might be important to produce constant voltage (voltage source) under changing output load, but again many tube amps have higher output impedance and sound fine. 

 
Assuming competitive market 100W amplifier should sound better than 200W amplifier if they cost the same and you don't need 200W.  Cost of larger heatsinks, bigger transformers, stronger transistors etc. can be used for better components and design.

In theory, an amplifier with high current output capabilities is less affected by either the speaker or the music played before, but even this measurement can be greatly misleading. Is it peak current? Sustained?  Equal across all frequencies or only in the bass? 

I’m stuck on amperage. Most product tout wattage, which I find misleading since the highest wattage amp I own has the least satisfying sound. My favorite amplifier claims >60 amps of current, and a few manufacturers state this measurement. But most don’t. Is it significant?

@dain Don't be stuck on this! 'Amperage', as @kuribo points out, has nothing to do with the power the amp can make. But I should point something out here!! Power (Wattage) is Voltage times Current. IOW, current cannot exist without voltage and so cannot exist without Wattage.

When you see enormous amperage ratings like you mentioned, usually its a rating of how much current will flow if the main power supply is shorted out for 10milliseconds. IOW really a measurement of how much energy is stored by the power supply capacitors rather than how much power (or current) the amp can actually into the speaker. 

Here's an example of what I'm talking about:

Maggies are 4 Ohms. If you had a 1000 Watt amplifier, the power formula states that the resulting current present when 1000 Watts is present is only 15.81 Amps!

Its not a bad thing that the amp might store this much energy. Our MA-2 amplifier, which can make 200WRMS into 4 Ohms, has a current rating of 80Amps. That's because it stores a lot of energy in its power supplies- but I would not want to be in the room if they were shorted out for something like this!

IMO/IME when manufacturers state numbers like this without any information explaining what is meant by them, its not a good sign and clearly causes confusion (which IMO is the goal). It certainly says nothing about how the amp will sound (which is caused by the distortion it make BTW). Put another way, you may be liking certain amps over others on account of their distortion. You can get lower IMD by increasing capacitance in the power supply. This is because at higher power levels, the power supply is more impervious so its voltage remains more constant and interacts less with the amplifier circuit.

However you can get around this a bit if you use enough feedback in the design! IME most amplifiers don't have nearly enough. So adding filter capacitance is one way to reduce intermodulations.