As you know, the LanguageTool Plugin connects Trados Studio with LanguageTool. Until now, the LanguageTool Plugin has only worked with the local installation of the LanguageTool server and possibly with the public LanguageTool server. The latest version (since 2019) also supports the LanguageTool Premium. In addition, the support for the public LanguageTool server has been greatly simplified.
Here is a comparison of all three scenarios: