False. You're referring to an adversarial situation where your payment channel counterparty tries to close the channel using an old state that gives them more of the money in the channel than they should own. The duration during which you can then post a breach remedy transaction to deprive them of ALL the channel value is configurable when you update the channel state, but the default is 1 week. Eventually the expectation is that you'll even be able to outsource this operation to third parties to monitor the blockchain on your behalf and post the breach remedy transaction if needed.
If I don't trust one person, I'm supposed to instead trust a tertiary entity to act in my best interests? What motivation could this third party have other than to simply make money?
It seems as though the lightning network is being marketed as a solution, but I don't understand how it isn't simply creating an even bigger problem by stripping me of any/all control.