lightning has limits based on blockspace but the way that it removes the need for onchain transactions means that its limits keep on receding into the future.
i think eventually tech like Ark will come into play as well because it allows bulk transactions to happen without touching the ledger, which means it could become a means to move sats in and out of lightning without requiring onchain transactions to open and close channels. but the need is not pressing. the mempool tells the story.