Was the owner just trying to state facts or were they trying to swing the local election by threatening employees? I think in your example case, no, the owner would not break the law by just saying the business will shut down.

A few scattered, merely-the-facts statements that a business will shut down as a result of a new law is very different than a continuous campaign of political messages and surveys through the official work app. There's a lot more room to argue that Uber's communications amounted to an attempt to coerce or influence, though it will still probably be an uphill battle.

(I am not a lawyer)

There's no "I'm telling you the truth I'm really going to fire you" exception.

Who said they'd be fired? The strip club owner could just keep taking losses until the bank repossesses the building.