"Barred from returning" is also a lie. INA 212a9Ai says that someone who has been removed/deported can't be admitted again for 10 years. But it also says that you can ask for permission to come back earlier. And they grant that all the time - see Form I-212. So, no. It's not forever. 11
It is offensive that this is being handed to people who show up to their immigration court hearings. And that it communicates false information that will convince people who have the right to due process that the outcome is pre-decided and they ought to just leave. And then get an in absentia order.