The response of the cartridge/arm/headshell to the mechanical excitations present have nothing to do with whether the playback electronics have a high pass or not.
We could argue whether this is entirely true or not- for example does a lower load impedance on the cartridge cause the effective mechanical stiffness of the cantilever to increase, as some have suggested, but that's clearly not in play here.
What is in play is whether the infrasonic modes (which, I believe, if present and randomly excited, should actually present themselves in a chaotic way) are sufficiently "audible" to cause listeners to interpret them as extra warmth or something similar- presumably by either some intermodulation or the creation of a background acoustic ambient LF "field" so to speak.
Again, I can only refer to the experiences of myself and many others. This is not what is heard. If anything, the opposite is true. The bass sounds less "muddy", the acoustic "field" is more differentiated. It's in fact, very digital like in some sense, with some of the analog character that people like, added.
What is generally audible is recorded rumble on some LPs and warps. Nothing else.
As it turns out, I have the ability to add LF HP filtering as well as warp filtering to my system, and to measure responses down to the mHz region, and one exercise I went through was to place the arm/cartridge on a stationary platter, with the motor running and the belt removed to explore the mechanical system noise and resonances and the interaction between the speakers (excited by the DAC output) and the cartridge. (As an aside, this was originally done to demonstrate to the manufacturer of the TT I have that it had certain problems, which took two trips back for them to fix as they didn't have a way to measure the problems!) It might be interesting to resurrect that test, or something similar, although the whole thing is becoming severely off topic and probably should just end, now.