The polar response is indeed important, but the off-axis measurements done by Stereophile, SoundStage/NRC, etc. use is more telling.
Good vertical response is important too, say withhin a +/-10° window; this is where speakers like the Tekton Double Impacts do horribly in, you need to be on the reference axis or else the response changes greatly.
Dynamic compression is also important, how the speaker measures at low and high volumes.
How its spectral decay and transient response is also are important. You want fast transient and an even decay that’s also decently fast.
Good vertical response is important too, say withhin a +/-10° window; this is where speakers like the Tekton Double Impacts do horribly in, you need to be on the reference axis or else the response changes greatly.
Dynamic compression is also important, how the speaker measures at low and high volumes.
How its spectral decay and transient response is also are important. You want fast transient and an even decay that’s also decently fast.

