Yeah it's important to recognize that this is a completely different conversation depending on what your power amp is. For a solid state, yes, you will get more power out of a lower impedance cabinet (or cabinets) down to its minimum.
I have an excellent tech for my tube amp and he maintains that you should always try to run your tube amp at the highest possible impedance, so that you use the entirety of your output transformer.
Also, I've found talk about the musical differences between different impedances, that they each have their own character. I can say for sure that my traynor yba-200.2 is different at 8 ohms than at 4, even with similar cabs.
I have an excellent tech for my tube amp and he maintains that you should always try to run your tube amp at the highest possible impedance, so that you use the entirety of your output transformer.
Also, I've found talk about the musical differences between different impedances, that they each have their own character. I can say for sure that my traynor yba-200.2 is different at 8 ohms than at 4, even with similar cabs.