<<<I just want to know if my bags would go through all the way...
There is particular no reason they wouldn't. They have to sit around longer somewhere, so there is always a slight chance that they might not connect as smoothly, but you would get them eventually. It's nice to find these longer layovers price the same as the ones under 4 hours--I would take it in an instant and just not pack valuables, medication, or any other essentials into the checked luggage (though I would never do that).