All these networks are just names given to specific ledgers within the blockchain. Each one has its own rules and specifications, but they all ultimately work the same way. The difference is how they interact with each other.
For example, Loopring's network "rolls up" several transactions on a second layer above the Ethereum main net, and then settles thousands of transactions at once to save its users on gas fees, which is why it's considered a Layer 2, specifically a zkRollup. The network can save the current state and balances on Ethereum by leveraging Ethereum's security.