Originally Posted by
Often1
There is no consistency to pricing. So, rather than looking at what sometimes happens, go ahead and price the itinerary you want and then compare the stopover to the connection price. If the difference is acceptable, you've got yourself a deal. If not, don't book it.
OP is primarily looking at spending an overnight but less than 24 hours at an international gateway, so these are (long) connections rather than stopovers. When delta.dumb breaks a fare, one should always investigate furthere because IME the odds are that there's a lower through fare for the same flights.