It's been awhile since I had to deal with any of this, but the following should be basically correct:
Resistance (R) is not quite the same as impedance (Z), which is what we're talking about with speakers and amplifier outputs.
Impedance matching is significant at high frequencies (like video) to minimize reflections or ringing in the transmission line or wire.
Impedance matching is important for tube amps at audio frequencies because it affects the efficiency of related power transfer to the speakers. Tube output stages tend to have high impedance. A high impedance source driving a low impedance load like a speaker tends to waste energy (converted to heat) rather than transferring it to the speaker. Typically, a multi-tap transformer in the amp is used to match the output stage to the speaker impedance.
For SS amps, what's really in play is
impedance bridging, which is related to the amp's damping factor: aka the ability to control the load. An SS amp's output impedance is actually very low (<0.1 ohms) compared to the speaker. Damping factor is equal to the load's impedance divided by the source's impedance (Df = Zspeaker / Zamplifier). Higher damping factors in SS amps are generally considered to be better because they control the movement of the speaker better, limiting overshoot, etc.
Speaker impedance varies with frequency. Logans are really hard loads, because at higher frequencies, their impedance can drop to less than 1 ohm. As seen in the damping factor equation above, this means that the panels are harder to control at higher frequencies (lower damping).
Now a real EE will step in and tell us how all of the above is wrong