Is the list of licensed baseball bats (linked above) a complete list of all the bats that are “legal” for use in the Little League (Majors) Division and below?
No, such a list would be impossible to create, since it would include all bats in the world that meet the criteria for the division of play. A baseball bat only needs to meet the criteria for the division, which includes all pertinent specifics in Rule 1.10, and must meet the criteria of the moratorium on composite-barreled baseball bats.