Very interesting mystery.
al w.'s Logic screen capture is perfectly symmetrical, like Logic is doing a phase rotation in the graphics. Usually things aren't THAT symmetrical. If I do a phase rotation in the 60-120 degree range I get something much more symmetrical.
All the other screen captures look like light clipping, and I generally would find it a toss-up as to whether that would be audible or not, it really depends on the source.
In RX11 if I toss everything under 45Hz it starts looking less clipped. There's a bunch of energy centered on 40Hz, kick drum. Even more symmetrical at 55Hz. A -3dB shelf EQ at 100Hz does similar things. As does a 40Hz -6dB notch at a Q of 1. You can still see the flatline across the transients, but it's not as obvious. FWIW.
It could be kick and bass with brick wall limiting coming out of subs with limiting, generating an acoustic signal that looks flat lined on one side. That would be surprising, but maybe. Mics placed in a room node that's acoustically maxing out?
Single ended power supplies (like phantom, or class A single ended tubes) tend to clip asymmetrically, it could be the mic asking for more current than is possible on low freq transients, or the recorder supply similarly not keeping up for whatever reason.
If I push the output control on my Tascam 122mkIII cassette deck with a hot tape, it generates similar waveforms, which don't necessarily have any obvious artifacts. It's one of the things I look for when setting up a transfer.
If it sounds good, it is good! but can it be better.....?
Going back into pre-history with radio broadcast rules, it was legal to be a certain % past 100% to the postive, but not a bit over on the negative, so there were broadcast limiters that you could set to do exactly that, and they would flip polarity if the other side of the waveform gave greater legal output. If you limit drums with one of those set to 125% positive, they do seem to shoot out of the speakers more than if set for 100%.
Interested to learn what the fix turns out to be.