I tried several of the solutions offered on this page & think I have finally found an answer. Since I made these changes, the excess printing of the Status banner has stopped printing. I have an Epson WF-4840 printer.
In Settings:
Task Manager -> Task Scheduler Library -> Epson WF-4820
If I click on the Epson WF-4820 from the Task Scheduler Library (in the box to the right), it opens another screen of General, Triggers, Actions, Conditions, Settings, History. The General tab says the Epson searches for software updates, notify when updates available, etc. The Triggers tab says how often to check for those software updates. The Triggers tab was set to search hourly. I edited the Trigger setting to Monthly, on the 15th of every month. I have not have the printing issue since making the edit.
I hope this information helps someone else - it was such a frustrating issue & I'm glad it finally stopped.