I have also experienced this problem on iOS. However, I’m able to open the chests just fine (although, opening the rendered single chest only shows the first half of the chest and opening the invisible part of the chest only shows the second half of the chest). But when I try to take items out of either half of the chest, the items appear to go into my inventory but then go back into the chest.
I have no shulker boxes, and I reported this bug on the last day I played bedrock edition (I got a Mac the next day) so I don’t recall the circumstances of these crashes very well. However, I will say that the size of the world was around 130 MB and I was hosting a multiplayer game from an iPhone 7, so it could have just been a problem with my hardware not being able to handle it.