Here's something weird ass that I've only see written about but it's super weird ass.
They took season one of Ally McBeal, and cut each forty minute Drama into a 20 sitcom by removing everything at the office or the courthouse and retitled the series as "Ally". This was not a fan edit. It really happened on real TV in the late 90s.
DS9 and Voyager had exactly as much continuity as their producers wanted them to have, but since both shows were set in the same universe (St Elsewhere?
) they should have each be made in and with respect to each others ability and failings.
I doubt either show failed to meet the design specs of their producer, even if their audiences might have been a revolting mob spoiling for a fight because of some slight.