Also, what specific trophy errors did the PAL version fix? All I know is that the random Barrel Blast Kremlings were given new backstories in their trophies.
Well, after doing some research, these are the changes between the NTSC and PAL versions for the trophies:
-Lyn's age in the NTSC version was mistakenly listed as 15, which is the age given to her only in the Japanese version. The PAL version changes it to 18 to reflect the localization.
-The Black Knight trophy in the NTSC version's description refers to his sword as "Ettard" when it should be called "Alondite" due to the localization. The PAL version changed the name to the latter.
-On the Aryll trophy, the NTSC description says she has a "turtle-marked telescope." This has been corrected in the PAL version, which instead says "seagull-marked telescope".
-The NTSC trophy description for Baby Mario inconsistently talks about his lack of overalls, despite the trophy clearly depicting him wearing them. The sentence that mentioned it was reworded in the PAL version to reflect the trophy consistently.
-Walky's trophy in the NTSC version incorrectly states that it debuted in Kirby's Dream Land on the NES, where it was changed to Game Boy in the PAL version.
-Lucas' home village is given as Tazumili in the NTSC version of Brawl, but in Mother 3 the village is actually named Tazmily. This has been corrected in the PAL version.
-The Helirin's trophy in the NTSC version states that Kuru Kuru Kururin was released in Japan only, whereas it was also released in Europe. It also states that Kuru Kuru Kururin is the only game that it appeared in, when it also appeared in Kururin Paradise and Kururin Squash!. These errors have been fixed in the PAL version.
-As you mentioned, the Kremlings got completely new descriptions in the PAL version to instead focus on backstory over their capabilities.
Apparently there are a lot less changes then I thought, though maybe I'm missing something.