Hard to say with confidence that you'll like it as the series, while highly praised even in the West, is quite niche and quirky. I really like these games personalty. Quite unique and great atmosphere.
I feel LJ's story is worse so far than Judgment's but quite a few of other elements are better, particularly the combat is simply great brawler fun with switching four styles on the fly, comboing and plenty of brutal heat actions. Judgment's combat is good as well but slower and less fluid, much harder as well on Hard difficulty.
Maybe wait for a sale and grab the Judgment collection, the first game is worth it for the story alone and there's like 80h of content outside of it if you feel like diving into that.