DoubleChestInventory CustomName

I can get LeftSide and RightSide Chest CustomName, but I’d like to get the name that player sees when both chests have set different custom names. From what I’ve experienced the displayed name is from the older side chest, but I don’t think using this mechanic is the best way.

Is there a way to get double chest’s displayed name?

Afaik it’s left side that overrides.