Technically, if you login every 4 hours to collect mines/cider and hunt pets, you get all those same resources at faster rate. No?
I agree with Bedlam, use the 6 hour expeditions just before you go to sleep. Another use is to synchronize workers.
Say you have 3 workers come free from clearing a forest, so now you have 5. You want to upgrade a building that takes 4 workers, but you want to keep 2 free for hunting and gathering. You have a trap upgrade that will finish in 24 hours. Send 3 workers on a 1 day expedition and when they get back you will have 4 workers in sync, plus some goodies to boot.