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or tell you to come get your money Monday through Friday from 2pm to 4pm. They don't have this power with LN, at no point your funds are at risk. You can close the channel back to the blockchain if you don't like how the counterparty behaves. I can't vouch for how effective it can ultimately be, we'll see, but it's a neat concept nevertheless.
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Nonetheless this system doesn´t work in various situations.
E.g. you can broadcast a closing transaction if you don´t like how
the counterparty behaves, but it is possible that the main layer is too
congested for it to go through at the time or you don´t have the necessary liquid
funds for a transaction fee that ensures a fast confirmation.
If the main layer is too congested and you are in the situation where you
want to close a channel unilaterally, you are screwed.