In a modded environment, there are too many types of containers that can hold items, and I think it's impractical to track them all.
Instead, how about checking for changes in the player's inventory?
I think you could achieve a similar result by monitoring inventory changes for items other than those on a blacklist, such as cobblestone, netherrack, or user-defined items.

Seems impractical and complicated. I think most mods use the default 'BaseContainerBlockEntity'.