The Czechs did not use a 7.62 x 25mm Tokarev blank with wood bullet. The "7.62 mm Pi.Cv. (Cvicny)" cartridge is found in brass and steel cases and is a shoulderless case with what would have been the shoulder of the case forming the rosebud crimp and completely closing the mouth of the cartridge. This cartridge, possibly with a different powder charge but I am not sure of that, was renamed the "9-82 CV" for use in a blank pistol version of the CZ vx. 82 pistol. It was not intended for use in normal pistols designed for ball ammunition, so they wisely simply chambered the blank guns for an already existing blank type. Some classify this cartridge as "9mm Makarov" because of its Czech Designation, but that is really not correct. Dimensionally, it is a 7.62 Tokarev Blank of the same type used before the 9 x 18mm cartridge was ever used in the former Czechoslovakia.
For a time, the Czechs used a similar 9mm Para blank that, however, has a slight shoulder - I think better termed an artificial case mouth- below the curvature of the rounded, crimped case mouth ("Bullet"). I mention these because I have seen many of the ones without this shoulder, actually, 7.62 Tokarevs, in 9mm collections.
Wood-bullet blanks were made in caliber 9m/m Browning Short before WWII in Czechoslovakia. They have a red wood bullet and normal headstamps. Cartridge was designated the 9mm Cvicny. After the war, during the period before the adoption of Soviet Calibers, the Czechs also made a wood-bullet blank, with purpole wood bullet, called the 9mm vz. 48 Cvicny.
Wood-bullet blanks have been made in a myriad of calibers by various nations. I know of none that were manufactured to be anti-personnel loads except for an experimental 9mm Para-caliber shot-filled anti-skyjack round reportedly made at Aberdden Proving ground. There could be others, but they do not come to mind at the moment. There were rumors during WWII about Japanese wood-bullet blanks being anti-personnel rounds designed to inflict more painful, harder to treat wounds. This was just an opinion started by the first few troops that found these loads, and knew nothing about ammunition, and later turned into a "propaganda myth," although not one propagated by any official statements of publications of the Allies of which I am aware.
Another reason for wood-bulleted blanks used in non automatic firearms is simply to make them feed from the magazine into the chamber of rifles and pistols easier.
I would qualify the statement that they make semi-automatic and automatic firearms function. I know that with that statement was mention of a muzzle-constrictor to break up the bullet. Part of the purpose of that constrictor with just a small gas-escape hole instead of a full bore-diameter muzzle, was to allow the gas to be retarded enough to build the pressure need to operate self-loading firearms mechanisms. With those muzzle devices, few, if any, wood-bulleted blanks will actually function an automatic weapons mechanism.
The German PP33 wood-bulleted blank was designed so that the muzzle blast would disintegrate the bullet even without such a device when used in the K98k, etc. Probably many other wood blanks were also so designed. They still need to be treated with repect, and never pointed directly at a target that one doesn't wish damaged or destroyed. Never know when one of those wood bullets will fail to break up as designed.