Energy Attribute Tokens (EATs) and Jasmine Liquidity Tokens (JLTs) are not just assets. They have functional methods which means you can do things with them! Most importantly you can redeem them.
Typical cross-bridge techniques obscure these functional aspects of crypto assets by "wrapping" them when moving them across chains. Ethereum can't be used to pay transaction fees once it's wrapped and sent to a Cosmos chain for example. Its only attribute is its financial value.
It's a priority to us that EATs and JLTs remain functional as tools for climate action when moved between chains. That makes wrapping an unacceptable solution for moving.