Yes, SpringboardVR works with Windows Mixed Reality headsets like the Samsung Odyssey. You just need to be sure to install SteamVR for WMR. You can download that app here.
While that's running, you can install and run SpringboardVR as normal.
You can check to make sure you have WMR support turned on by clicking on the system tray and selecting "Enable Windows Mixed Reality Support". This ensures a few Windows-specific settings are configured to work nicely in the LBE environment, including disabling the Windows button on the controllers so they won't accidentally get out of SteamVR.
To access the SpringboardVR launcher overlays users must press down on the thumb-stick instead of the the Windows button as this will launch users into SteamVR.