Tested with cobblestone walls instead of honey with a slightly different setup to keep them moving, and when I enderpearl into the moving walls I go inside of them, and when I used the Quick Carpet mod for 1.14 to make chests pushable, and did the same setup, I go inside of the moving chests when I enderpearl into them, so it seems as though this is a larger issue with enderpearling into moving non-full blocks.
Tested with cobblestone walls instead of honey with a slightly different setup to keep them moving, and when I enderpearl into the moving walls I go inside of them, and when I used the Quick Carpet mod for 1.14 to make chests pushable, and did the same setup, I go inside of the moving chests when I enderpearl into them, so it seems as though this is a larger issue with enderpearling into moving non-full blocks.