I tried an Obsidian Chest transporter with a Forestry Apiarist's Chest full of bees. It bugged out so badly it's hard to describe. Not only did it not move the chest, it moved things from my inventory into my personal crafting grid, replaced my hot bar with bees from the chest, I was no longer able to break blocks. The game became unplayable and I needed to roll it back.

FTB Continuum 1.3.1
Forge 14.23.4.2705
ChestTransporter 1.12.2-2.8.8
Forestry 1.12.2-5.8.0.295