Just played until the first boss and I can also confirm that other than that one cutscene, everything works fine.
I've also tried checking the TSDSTP file. It is a compressed archive (SPKD) in a weird file format that contains a lot of SHBP files. I don't really know what they do exactly, but there are strings like VP_MUSIC and VP_BTL_01 in there.
The TSDSTP file could be some sort of reference file the for the sounds. And the English version is 1577 bytes smaller so it might be missing something. Or the size difference is could simply be that they used Japanese characters in the Japanese version.