What you have there is not really cedar, it's a tree called Rocky Mountain Juniper (Juniperus scopulorum). In the U.S. It's sometimes referred to as Aromatic cedar. So when you're doing your research, make sure you're reading about the right wood. It may have enough aromatic essential oils in it to affect the flavour of your honey, only time will tell.
I have been building my hives from western red cedar and the bees like them. I leave it rough sawn to encourage propolis on the inside.