Hepburn has made Japanese more accessible universally given its phonetic nature and relationship to English. There are many other transliteration systems out there that people are using with their local languages as well.
If you want to see the opposite approach, look at China and Pinyin. It’s made pronunciation of Chinese in English and elsewhere less intuitive. In order to pronounce Chinese words properly you need to learn Pinyin and its phonetic rules. As a result, many Chinese people take on Westernized names to avoid the inevitable butchering, which is a bit of a shame.
While Pinyin was probably the best choice for enhancing literacy in China, it has inadvertently created hurdles for foreigners. In contrast, Japan’s Hepburn system has avoided such challenges.