The mass-message queue reports 0 when there are still queued messages
A large (50,000+) number of mass-messages were just sent on enwiki, in batches of 5000.
In reviewing status both Special:Statistics and the api view (https://en.wikipedia.org/w/api.php?action=query&meta=siteinfo&siprop=statistics) show "queued-massmessages": 0
Manually following the messages shows that the system is still actively distributing messages (i.e. there are certainly not 0 to go)