Evan, naming bootleggers on MZ is against board rules. Please do not do this again.
To answer your question, the titles on the Toho trailer tape were used on the films. In the 1970s, Toho redited some of the films and included the as part of their various "Toho Champion Festivals" (collections of childrens' films, shows, and cartoons). Some of the edited versions were given new titles.
The re-edited MONSTER ZERO you named was released in 1971. GHIDRAH added the names of three monsters to the initial Japanese title to become GODZILLA-MOTHRA-KING GHIDORAH: THE GREATEST BATTLE ON EARTH that same year. DAM was re-released as GOJIRA DENGEKI TAISAKUSEN ( Very roughly "GODZILLA ELECTRIC BATTLE MASTERPIECE") in 1972. The only other "Champion Festival" retitling I can recall at the moment is for OPERATION LATITUDE ZERO, which became UNDERSEA OPERATION LATITUDE ZERO in 1974.