Chest, Trapped Chest, Ender Chest and Barrels stop functioning when moving far away whilst in the GUI

When moved out of range of a trapped chest while the interface is opened, reopening the chest doesn't emit a redstone signal and also doesn't display the opening animation. The only fix I've found is to completely replace the chest. This affects both survival and creative mode.

Reproduce (Creative Mode)

• Create a contraption with a trapped chest activating some redstone
• Fly by the trapped chest and open it while flying by it
  Notice the redstone activates
• Leave the GUI and fly back to the trapped chest
• Open the trapped chest
  Notice the trapped chest doesn't display an opening animation or emit a redstone pulse

Code analysis

Code analysis by FX - PR0CESS can be found in this comment.