I wonder if your bad cholesterol goes up in this case? This is because the liver uses cholesterol to create gall enzymes, which it excretes into the gall bladder with a bunch of left-over cholesterol too.
Gall bladder stores bile, which continues trickling down the common bile duct whether a storage facility sits off to the side ready to dump a bolus into the common bile duct. . With no bladder storing a bile bolus fatty foods might not be adequately digested from the trickle.