Actually it isn't. Most speakers are designed around the idea that they are 'voltage driven' which is shorthand for saying that the amp driving them will put out the same voltage regardless of the impedance of the load. In this way, the speaker and amp are 'plug and play'. This concept was originally pushed by MacIntosh and ElectroVoice in the late 1950s. It took about 15-20 years for that idea to become widespread in the industry. For more on this see:
http://www.atma-sphere.com/en/resources-paradigms-in-amplifier-design.htmlAnother issue is distortion, and nearly all amplifiers make audible distortion. The ear converts all forms of distortion into some sort of tonality. For example, most solid state amps made run feedback, and so suppress the lower ordered harmonics. But the higher orders are there because if feedback is insufficient, it will generated higher ordered harmonics on its own.
The ear perceives the higher ordered harmonics as brightness and harshness. That's why solid state has had a reputation of harshness and brightness for the last 50 years, despite being flat when measured on the bench.
So most of the differences we hear between amplifiers, their 'sonic signature' is actually their distortion signature- the relationship of the various generated harmonics to one another (and of course the IMD they make). Harmonics of a lower order can mask the presence of higher orders, if that lower order has enough amplitude. The lower orders, the 2nd, 3rd and to a lessor degree the 4th, are innocuous to the human ear and mostly contribute to 'warmth' and 'bloom' (audiophile terms).
All tube amplifiers have output transformers so they aren't affected by impedance fluctuations.
This statement is false. Transformers transform impedance; it goes both ways (else Kirchoff's Law would be violated). So if the load on the secondary varies, the load on the power tubes varies by the same proportion. People like the smoothness of tubes because the lower ordered harmonics they make are able to mask the higher orders. You can see this if the harmonic spectrum is measured; tube amps actually make more higher ordered harmonics than solid state amps do!
If you can run enough feedback, then the feedback will not cause the higher ordered harmonics that it does otherwise. To do this takes a lot of work, and most solid state designs have not been up to the task (and no tube amps are either). What's needed is 35dB of feedback at 20KHz. The old Futterman OTLs had 60 dB of feedback at 100Hz, but owing to insufficient Gain Bandwidth Product (a combination of bandwidth and gain) the feedback at 10KHz was **considerably** less. This happens with a lot of amps.
So you can see now that the distortion signature is actually what is influencing the differences we hear in amps. It sound for all the world as if its a tonality, and it is because of how the ear perceives distortion.