Lutron Caseta Pico (Core Integration Only)

Yes

Scenes don’t work that way. You can only activate a scene (ie turn it on). You can potentially setup a button press to cycle through scenes, but it not something that HA let’s you do natively. You would need to use something else to keep track of and activate each scene…like a an input_select. That is beyond the scope of this thread bit you can search the forum for help setting this automation up. Here’s one thread that may be of help.