Nation What’s next for the death penalty? Melissa Lucio’s case deepens questions about capital punishment. April 25, 2022April 25, 2022 Chris Kenning, USA TODAY Comments Off on What’s next for the death penalty? Melissa Lucio’s case deepens questions about capital punishment. Publicity over Texas' planned execution of Melissa Lucio and a firing squad in South Carolina may fuel declining public support for the death penalty.