The L1/L2 distinction is not only a Bitcoin thing; it addresses problems which are fundamental to blockchain architectures. As the market matures, developers and users will come better to recognize which transactions belong on a blockchain, and which don’t. A beneficial side effect of Bitcoin’s scaling debates is that Bitcoin is years ahead of any altcoin in L2 developments. (Notwithstanding how Ethereum has been spinning its wheels with L2 talk; it has much worse scaling problems than Bitcoin, and thus far much less to show in terms of solutions.)
The problem is that Bitcoin itself is not adequate to support the L2 systems being constructed for it. (Something explicitly acknowledged by the LN developers by the way). The problem is not that Bitcoin is inadequate to the purposes to which I would like to see it put (which might have fallen by the wayside, admitedly) but also to those you are suggesting for it.
I'm not going to argue for bigger blocks right now though. I think the need is going to become ever more self evident. Indeed, the recent hashrate crash would have been largely a non-even if there was adequate capacity.