Tungsten carbide is an inorganic chemical compound carbide containing equal parts of Tungsten and Carbon atoms. Colloquially among workers in various industries (such as Machining and Carpentry), tungsten carbide is often simply called carbide (without precise distinction from other carbides). In its most basic form, tungsten carbide is a fine grey powder, but it can be pressed and formed into shapes for use in industrial machinery, cutting tools, abrasives, other tools and instruments, and jewelry. Tungsten carbide is approximately three times stiffer than steel, with a Young's modulus of approximately 550 GP and is much denser than steel or titanium. It is comparable with aluminium oxide or sapphire in hardness and can only be polished and finished with abrasives of superior hardness such as CBN - cubic boron nitride and diamond amongst others, in the form of powder, wheels, and compounds.
Less wear is true - significantly less wear!
Absolutely no difference in tolerance!
Galling in steel only may happen with steel cases, but more likely to jam due to lack of lube.
If you can achieve 'galling' man there is some serious abuse of tools going on!!!
Absorbing foreign matter, well steel dies do not 'absorb' foreign matter either. Dirty dies on the other hand will score brass regardless of steel or carbide.
Friction coefficients are better with carbide and even improved if a titanium nitride type of coating is used.
Smoother again is a misunderstanding they are not 'smoother' the polish will be about the same as steel dies.
As to die making - dies are made to size cases to a recognised minimum dimension so that ammunition will perform in the majority of firearms chambered for the particular cartridge, so forget 'works brass less', it will work the brass exactly the same.
There is a wrinkle in pistol straight wall calibres in as much as the die will not be a full length die rather a ring of carbide which will size the case down, a little like a drawing die.
Hope this clears things up a little.