I don't see any reason why they sometimes couldn't be so. I remember reading that there were 40mm pc fans created, but it was a very niche product, which wasn't advertised much and most people didn't even know that it existed, however, few that have those fans claim that they are great. And for example on tower cooler like 212 Evo, it wouldn't be too difficult to mount 40mm thick fan and it would be possible to have cooler more dense than it already is, so that it performs better. In most cases, you can mount 40mm fans as exhausts too. Intakes are thought due to various obstructions, but I think that 40mm fans certainly could be sold for pc enthusiasts wanting to try something different. And if Corsair, CM or Noctua would release such model, it could gain become a reasonably well known.
They can't be thicker than 25mm without breaking the (de facto? I have no idea if this is official in any way) standard for PC case and cooler fans, risking severe compatibility issues. There are many places where a >25mm fan can fit, but that doesn't mean that producing such a fan would be unproblematic. With all else being equal, the return rate for a thicker fan due to it not fitting the intended use would be higher simply due to it being thicker than standard.
Of course designing a thicker fan for consumer use is also problematic in that no such fans exist, and adapting a server or industrial design is likely to be difficult (different factors to consider). In other words: it would be expensive. And as I said, fans are a commodity, and costs matter.
Then there's the actual benefits: unless you are running a
very thick and restrictive radiator, current 25mm fan designs perform pretty well, and significantly beating that without getting to the range where two 25mm fans in push-pull would be an alternative is very difficult, especially at low noise levels. And as pressure stacks with fans in series, two fans of X mmH2O = 2X mmH2O (minus some interference losses). Thus, a 40mm+ fan would need to outperform not one, but two 25mm fans stacked, while still staying at a reasonable development cost.
There are some thicker fans out there, like EK's 38mm Meltemi fans, though those only really outperform 25mm fans in specific scenarios (in particular: restrictive rads in pull configuration).
lol it was me who said that they are not like Archimedes screw (which I think would be reasonable static pressure fan design, but who knows, if it spins too slow, water can just go back and air would be even harder to start moving. Anyway, since you say that computers will always be restrictive (which is definitely true, even more so for high end systems), wouldn't that mean that you would always want to buy only static pressure optimized fans? Because as you said too, there isn't much from where airflow fan would have unimpeded airflow and thus won't performs nearly as well as they are stated in spec sheet.
As you say, an archimedes screw would be a pretty terrible air pump though - you need something that seals, i.e. a piston mechanism or similar for that. But you seem not to have read very carefully: I also point out that
all PC fan designs fall along a relatively narrow spectrum of possible designs. This means that most "airflow optimised" fans
still produce a modicum of static pressure when restricted, and that most "pressure optimized" fans still provide good airflow when unrestricted. So while there
are differences, they are small and nuanced. If your case is extremely unrestrictive and has a good airflow layout with equal intake and exhaust, a good set of airflow optimized fans will likely provide more airflow through the case at the same noise level as a set of good pressure optimized fans. But you'd still want a
more pressure-optimized fan attached to any heatsinks in the case, as airflow will otherwise choose the path of least resistance and any airflow-optimized fans mounted to these will perform somewhat worse. Not a world of difference, but some (as long as all fans are assumed to be good designs). But if, for example, your case has less affordances for air to leave the case than enter it (forcing a positive pressure setup), then yes, you want fans better optimized for pressure, as you'd otherwise risk losing effective airflow due to back-pressure. Again, the difference isn't likely to be major, but it would be measurable.
Edit: in a case like yours, which is highly restrictive by design, airflow will always be hampered regardless of your choice of fan, but good "pressure optimized" fans are still likely to perform better than "airflow optimized" ones.