The solutions for that would be 3:
1) Add the possibility of regionalizing the default name.
2) Add a reiteration of the name. That is, the same name will be added twice to be able to regionalize. For example:
"Dragon Ball Z: Buyuu Retsuden" has alternative names to
"Dragon Ball Z: Buyū Retsuden" (Japan) and
"ド ラ ゴ ン ボ ー ル Ｚ 武勇 列 伝" (Japan) among others.
If ド ラ ゴ ン ボ ー ル Ｚ 武勇 列 伝 with Japan region is added, when importing it will be shown as ド ラ ゴ ン ボ ー ル Ｚ 武勇 列 伝, but if Dragon Ball Z: Buyuu Retsuden with Japan region is added, it will be displayed correctly according to the name of the rom file. The same happens if only Dragon Ball Z: Buyū Retsuden or Doragon Bōru Zetto Buyū Retsuden with Japan region is added or both at the same time. Those users who have in some instance of priority to the Japan region, will visualize that regionalized name and because the name cannot be regionalized by default, the solution is to add the same name by default but regionalized.
3) Add the name without regionalizing. For the same case: "Dragon Ball Z: Buyuu Retsuden" has no region, and will be added as much as "Dragon Ball Z: Buyū Retsuden", "ド ラ ゴ ン ボ ー ル Ｚ 武勇 列 伝" and "Doragon Bōru Zetto Buyū Retsuden" without region, but this method causes problems with others names that the game may possess, for example "Dragon Ball Z: L'Appel du Destin" (France). In this way, if the game files Japan and France are in the ROM collection, France will be displayed as it is regionalized and the rest of the names will be left without a region.
This that I comment, is in accordance with the current LaunchBox functionalities, which means that if the app is updated in this regard, what I say may be without effect. Just do tests by importing, making changes to the database and re-importing (previously deleting our game from the library) once the DB is updated. Another solution is the manual edition of each of these games, but I think the idea is that this process is done automatically and in the most efficient way possible.
By the way, I am using a Spanish to English translator to comment