For clarity, we should probably point out that
Lutron Caseta (Connect) is a SmartThings services manager smart app which is used to implement the official integration between Lutron and SmartThings.
Lutron SmartBridge and Lutron SmartBridge Pro are the physical devices that Lutron sells that allow you to connect Caseta and Serena products to the Internet. You need one of these devices to set up the cloud to cloud integration with SmartThings
Lutron Connect Bridge is the physical device that Lutron sells that allows you to connect non-Caseta Lutron devices to the Internet, including the QS series. At the present time there is no integration between this and SmartThings.
Lutron Connect is Lutron’s app for controlling the Lutron Connect bridge.
So “Lutron Caseta (Connect)” Will show up in your list of automations and is a smartapp used to facilitate the integration between smartthings and Lutron Caseta.
“Lutron Connect” is an app from Lutron used to control its Lutron Connect bridge, and doesn’t have anything to do with SmartThings at present. 