I suppose misleading is a better term than inaccurate. I don’t want to suggest Exodus is a bad tool, but users have the wrong expectations of it.
What it purports to do: find “tracker” classes in apps
What it actually does: find classes with the same name as known “tracker” classes (as explained by someone who is a contributor to Exodus). This is a subtle distinction, and irrelevant ~99% of the time, but e.g. when those classes are replaced with do-nothing stub classes, Exodus won’t be able to tell the difference. Fennec F-Droid and its derivatives are a high-profile example of this and one that I find I have to explain over and over and over, despite the developer stating such in this thread (maybe it should be explained on the app page itself).
What users expect it to do: tell you if an app is spying on you. Even if Exodus is able to accurately tell when a class is a known “tracker” class (and not a stub), it can’t tell you if or where that class is actually used, how it is configured, and so on. For example, the “tracker” may be a crash reporting tool (which is different than, say, an ads or analytics library) and is only used if the user opts in to it, and only when a crash happens. You need to actually inspect the bytecode or source code, or observe the app’s behavior at runtime, to answer the question of if the app shares date with other apps or with a network service.
Exodus is indeed used in the F-Droid review process alongside other tests, including actually running the APK to determine its behavior at run time. I think that is a good use of Exodus. However, Exodus and tools like it cannot answer the question in the thread title or any question as to what the app does at run time, because they do not analyze run time behavior.
As to whether F-Droid should include tools like Exodus in the client, for users to use, I don’t think that is a good idea. I think Aurora Store doing so makes sense in the case of proprietary applications (where developers generally do not care about user privacy), but F-Droid reviewers already use Exodus in a more appropriate way, and Exodus reports of apps in F-Droid are either superfluous at best or misleading at worst.