Every day objects do not really bother with the Pauli exclusion principle. The amount of phase space available at room temperature is vast and there are staggering amounts of degrees of freedom.
What everyday objects obey is electromagnetism. The electric bond between things we think of as objects is much much much stronger than the force you can apply by normal means. So objects which come in contact are excluded from the same space not by Pauli principle but because the force to combine them is astronomical in human terms
I believe it was a Leonard Susskind lecture[1] where he said, if the electromagnetic force were unitary like gravity (not positive and negative) and therefore couldn't be balanced to near-0 in a single object, the force of attraction between two grains of sand at each end of the lecture hall (say, 15 meters) would be 3,000 tonnes. I'm probably butchering the numbers, but the electromagnetic force is wildly strong, and this thought experiment always stuck with me.
Another consequence is that, while black holes can have charge, we don't expect them to in nature—they'll very quickly suck up whatever it takes to balance them from surrounding space.[2]
> If it's only an odd-even difference, why are composite bosons (like, whole atoms) so more.. exotic than composite fermions?
> That is, why do atoms normally obey the Pauli exclusion principle?
Whole atoms can be fermions (the Wikipedia article gives the example of ³He), and the Pauli exclusion principle applies to fermions within a given quantum system, not to bosons (though sometimes the quantum system itself is a composite boson, though it could also be a composite fermion—the most common set of systems in which it is discussed, atoms, can be either.)
Since it's only a even/odd difference, I would expect that roughly half materials form composite bosons, and the other half form composite fermions, but this doesn't seem to be the case.
> everyday materials usually obey the Pauli exclusion principle
In the everyday case, this is pretty much always in reference to electrons (which are fermions). Even when we're talking about atoms or solids, the effects of the PEP are due to electrons: https://en.wikipedia.org/wiki/Pauli_exclusion_principle#Appl...
The quantum-mechanical wavelength of everyday whole atoms is much smaller than their physical size, so they behave as classical particles (and the PEP doesn't really apply). In contrast, electrons have wavelengths large enough that they exhibit macroscopic quantum mechanical effects in everyday scenarios.
> Since it's only a even/odd difference, I would expect that roughly half materials form composite bosons, and the other half form composite fermions, but this doesn't seem to be the case.
Every element has bosonic and fermionic isotopes. Neutral atoms have equal numbers of protons and electrons, so any neutral atom with an odd number of neutrons is a composite fermion, and any neutral atom with an even number of neutrons is a composite boson.
That is, why do atoms normally obey the Pauli exclusion principle?