This mod:
https://www.curseforge.com/minecraft/mc-mods/charm
Has an enchantment called Collection:
https://svenhjol.github.io/Charm/sections/smithing
Which makes tools automatically pick up drops when harvesting.

This bypasses the shulker box and puts the item straight into the inventory. Once the inventory is full, the Collection enchantment will then start spitting the collected items onto the ground, where they are then picked up and put into the shulker box properly. It would be great if these two functions worked together, allowing for long mining trips without having to chase drops around.

Have the collected items enter straight into the shulker box, skipping the requirement to pick them up entirely.