During my session, I responded to a user’s request in which he mentioned observing wrong redirects as soon as his users logged out of groups to which they belonged.
More precisely, he mentioned observing permanent redirects (301) and temporal redirects (302).
Although this behavior isn’t common in Groups, considering Groups typically only yields 404s and may only cause redirects with the help of Groups 404 Redirect when non-group members try accessing groups they do not belong to.
As a result, it is safe to assume that another plugin or code snippet might be a culprit.
A recent case with a similar issue can be observed here, where another plugin was responsible for the redirect observed.