Board Thread:Support Requests - Community Management/@comment-736515-20170429163546/@comment-11001-20170604035828

The main reason that staff traditionally encouraged communities to allow anonymous editing is that the ability to "test out" editing as an anonymous user may encourage people to join the wiki. A casual editor may not take the time to stop and create an account but simply walk away instead. Turning off anonymous editing is also fairly ineffective against vandals or spam, which is a frequent reason that wikis request the change. Anonymous editors have nothing to do with ads or traffic, which are, in fact, completely unaffected by who can edit. Anons can still view a wiki normally regardless of whether the edit button works for them.

While it may have been discouraged, it has always been possible to have anonymous editing disabled by staff as long as the community was in agreement. Plenty of older wikis that were not imports or acquisitions have had no anonymous editing for years (eg. Oz Wiki) and I had disabled it by request on many wikis before it became an option in WikiFeatures.

To answer your question, Citrusellaeditswikis, the original poster's wiki was probably re-classified to remove the "directed towards children" status. So in that case it is better for them simply to turn the anonymous editing back off in WikiFeatures if it is disruptive.