Yes, I agree: this research shows that governments do a poor job when they attempt to set minimum wages, and they would do better to focus on accomplishing income redistribution policies through the tax code.
When government tries to set minimum wages, they often result in job losses (or foregone jobs that were never created) which, as you wrote, is known in economic circles as "deadweight loss."
When government tries to set minimum wages, they often result in job losses (or foregone jobs that were never created) which, as you wrote, is known in economic circles as "deadweight loss."