Custom name transfer with /clone only works with chests/shulker boxes

In the latest changelog (1.6.0.5) it is mentioned that the cloning of containers will keep their custom names. That is sadly not accurate as the cloning command still erases the custom name when using dispensers/droppers/hoppers/furnaces. It'll work fine with chests, shulker boxes and their variants.

Edit: after some more testing I found that resetting the world will rename the cloned container