Bass quality vs step response

While browsing loudspeakerdatabase I noticed bass drivers have wildly different step response. At 60hz most long and medium throw drivers don't even remotely track the input signal.
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The cheap Goldwood with only 2mm xmax does a lot better

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The only driver I could find doing slightly better than the Goldwood is the insane 31.5" Fostex
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If we disregard the practicality of it, would 4 Goldwood drivers sound better than one driver with 4x the xmax and 4x the price in the low bass region (30-120hz)?

How important is step response and which driver parameters are important for good step response?
 
Presumably the Fostex has the lowest cut-off frequency and therefore less phaseshift at 50 Hz than the others.
Cutoff doesn't seem to be the only factor.

Here is a driver with 4x the xmax of the Goldwood and the same fs
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Here is the Goldwood

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I don't really know how to relate this to real world bass quality.

I want make open baffle speakers that are 60cm wide and can be up to 250cm tall. So I have the option to have a crazy amount of woofer area. If low xmax sounds tighter/cleaner it may be worth it. But otherwise I could spend the same on higher xmax speakers and have a more manageable speaker size.
 
So don’t use tonebursts. Unless you know how to interpret the outcome. Something about Fourier analysis…
Exactly. A woofer, whether open-baffle or mounted in an enclosure, forms a mechanical highpass filter system. A highpass filter exhibits amplitude response and phase response, both of which vary with frequency. The tone burst responses shown are actually quite good.

See https://community.klipsch.com/index.php?/topic/172686-ht-2-12-subs-vs-1-15-sub/#comment-2555558 for a purely mathematical simulation using mathematically "perfect" filters.
 
What you're seeing here is nothing more than phase shift from the high pass nature of the woofer.

So if I EQ the B&C to the same frequency response curve as the Goldwood........

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......the tone burst graph will also be the same?

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So one is just a function of the other and tone burst doesn't give you anything that you cannot get from looking at a frequency and phase plot?