I think lightning network sending assets support for the same exchange only and not available for sending to other exchange or sending to electrum wallet, I don't think have option lower fees sending from exchange market wallet to electrum wallet. All exchange have minimum withdrawing fund and fees each time sending Bitcoin, for internal transaction without fees like sending trough lightning network or in Binance has option with sending trough BinancePay.
Right now, sending trough electrum wallet have to pay higher fees transaction based block confirmation, almost the same with exchange wallet will push up with sending transaction fees depend on how long confirmation take time.
I think LN is the way to go, whatever is left to make that work is the only important thing at the moment and I believe that it is going to be very difficult to handle that and it will take a while before people could get involved with LN and certainly it will take time for exchanges to get involved with it as well but when that happens we are going to be a lot better.
There is no scenario where bitcoin could continue with this fee structure, and some altcoins like ETH goes the similar way and quite expensive. We should be expecting those to drop eventually, I do not know when that improvement will happen but we need to see it happen very quickly so that we could start paying less. It hurts crypto a lot when the fee's are this high.