Why the woofer moves badly when playing certain LPs

At 0.49 I can see a large gap under the record at the edge. Approximately 1-1.5" of the outside of the record is not touching the platter. The record is warped. That is likely instigating your woofer excursion. If you have a resonance issue in addition as described by atmasphere, above, that will make it worse.

It sure looks to me like a stellar example of pickup arm/phono cartridge mismatch.

I uploaded the video of normal situation back to my Google Drive https://drive.google.com/open?id=1FGqFGmFYRujxj5b8TWlIvFljZqmi1oiC

Use of a Subsonic filter or a preamp with one built in is almost a MUST when playing LPs. Subsonic filters were created specifically to remove that low end rumble and they work well. Just my two cents worth.

mhmeyers

Use of a Subsonic filter or a preamp with one built in is almost a MUST when playing LPs.

Such filters are necessary when there is such a profound pickup arm/phono cartridge mismatch, as in the example shown in the linked Youtube video. If the OP’s cartridge is not a mismatch for the pickup arm, then there is something amiss with the cartridge itself, such as its suspension. I think it’s preferable to treat this problem at the source - in this instance, by selecting a cartridge properly suited to the pickup arm - rather than subject the signal to a filter.

I play LPs and have no issues with woofer pumping, even on warped records, and my system is flat to below 20 hZ. But my phono cartridge is matched to the pickup arm, and I’m meticulous with setup.