Huh, somehow I hadn't checked that tile, even though I could've sworn that I'd thoroughly checked every single one around the lake. But now I know that there is, in fact, a consequence to the Dissonant Fragment! Though I didn't have a save without the fragment, so I can't really compare the two swords. The stats were neat for the one I got, though!
With that, I think I've completed all the loose ends I had in mind. Thanks for helping me out with all this and for putting all kinds of secrets and possibilities into the game! It made it all a great deal of fun and I had a really great time with the game overall. Looking forward to the next entry and seeing where all this goes!