If using two dimmers in a room will the remotes be indepent of each other? I want the remotes to control each light and not one remote controling both

The Pico Remotes can control the light independently or together simultaneously. Pico Remotes can be paired directly to the plug in lamp dimmer if being used in stand-alone, or paired to the Lutron app (Lutron Smart Bridge Required). If paired through the Lutron app, tap the icon for the Pico Remote, then tap edit device, and select "Devices, Lights, Shades and Audio". Then select both lamp dimmers for this Pico remote and repeat this process for the second Pico. For stand-alone pairing, please follow step 5: https://www.lutron.com/TechnicalDocumentLibrary/0301684_PluginLampDimmerInstallationInstructions.pdf