Even when I shared my screen or played things from the media board, I still get a clean video recording of myself at full resolution for the entire presentation. I can also download the video tracks of anything I presented, either from screen share or the media board. Then if I want to edit in Adobe Premiere, I can actually export all of my media files synced up, and an XML file will allow me to import that into Adobe Premiere.
And when I import that XML file from Riverside, it actually creates an entire sequence with the media files, overlaid audio and high quality video all in one track, everything where it should be. Or you can use the Riverside editor to export a high quality video file with everything you shared during the presentation. If I click edit here in the top right, I can choose a full length recording. When you click tracks, you can choose to include both my video, any screen sharing, and anything I played from the media board. When you're ready to export this file, you can click Export in the upper right, export up to 4k.