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For 16th order Ladder filter with 8* 0.7 ms/stage = 5.6 ms delay, slightly more than 1/f but with significant attenuation using 10% of 200 Hz or a half pulse at 4kHz with a sqrt(LC) *Q = 1ms seems like 0.707 factor for a Ladder Filter per LC stage..

hmm Any Math experts on Filters here?

[URL unfurl="true"]https://www.wikiwand.com/en/Group_delay_and_phase_delay[/URL]

I was wrong before in stating Group Delay from LC alone for breakpoint fo  with frequency = 0 but with Q the impedance ratio for each stage. (?)

[ATTACH=full]189921[/ATTACH]

[ATTACH=full]189920[/ATTACH] does not look right.

[ATTACH=full]189922[/ATTACH] is the group delay near DC of f=0