I reached out to Nikita (https://nikita-moor.github.io/dictionaries/) who converted Lewis & Short's XML to #Aard2 .slob format, inter alia, about converting #LSJ as well to have a nice Greek dictionary in Aard2.
He replied that, for each dictionary, he creates a custom workflow for conversion, and he agreed that LSJ would be nice too, and he may convert it in the near future. Definitely happy to hear that, and I await any progress!