That seems correct.
Here is the Almanac's description of it:
The key point here seems to be that while Davis received Confederate congressional authority to suspend habeas corpus in February 1862, Lincoln did not receive similar authority until March 1863.
However, the Confederate government's actions in suppressing pro-Unionist civilians in, for example, East Tennessee, did not wait for formal Confederate Congressional authorizations to revoke habeas corpus, etc.
From your post 123: In some areas of the Confederacy, like eastern Tennessee, martial law led to the summary executions of a few civilians and the mass incarceration of others.
A few months after Tennessee's secession, Unionists in East Tennessee started burning railroad bridges to cripple the Confederate war effort. Confederates acted to stop this activity and at least five bridge burners were hung after "trials."
This is similar to Union General Halleck's 1861 order to hang bridge burners caught in the act in Missouri. Link
Many East Tennessee Unionists rose up against the Confederates. Perhaps the following link to a Confederate communication gives an indication of what the Confederates were facing and suggests why the Confederates held captured Unionists as prisoners: Link.