When you are in the Edit Recording tool, you can click on the settings button on the lower left hand corner and you will be able to obscure attendee names and you can hide the Chat. Attendee and Q&A pods. This doesn't give more real estate to the presentation, but it does prevent those pods from being seen. You may want to call attention to the Full screen button that is at the top of the Share pod with the presentation in it. The viewer of the recording can click that and only look at the presentations.

The other alternative is to take the audio from the recording and use it to create an presentation in Presenter. I've done this a number of times, but it isn't necessarily a fast process. But it does result in a presentation that is just the slide deck and audio.