Of course, this is a provable lie that has been repeatedly proven.
It was not even alleged that the Great Usurper had suspended habeas corpus. The Great Usurper had authorized General Scott to suspend habeas corpus at the discretion of the General.
General Cadwallader sent his aide to the Court to read to the Chief Justice of the Supreme Court that, "He [General Cadwallader] has further to inform you, that he is duly authorized by the president of the United States, in such cases, to suspend the writ of habeas corpus, for the public safety."
By doing so, Lincoln stanched the insurrection in Maryland. It was the right thing to do.