My fear with LN is rather the opposite: that propagating "waves of panic" will overwhelm the block chain with transactions, because the amount of transactions pending on the LN network can in principle be orders of magnitude larger than what a block chain can handle (that's its main idea !).  So if a block chain can handle, say, 100 000 transactions per hour, and the LN network has 10 million transactions pending in 10 minutes, and there's a panic wave going through the network, those 10 million transactions will need to go on-chain which will create a backlog of 100 hours, often passing the safety time limit of regularisation, and huge opportunities to scam.