Lightning Network is a Layer 2. State channels also exist on top of Ethereum, such as Raiden Network and others[1].
The Eth core devs and users are more interested in rollups due to them being general-purpose[2], i.e. suitable for applications and smart contracts to build on top of (for e.g. Uniswap on a rollup via zkEVM[3]).
Not everything needs to be recorded for all eternity.