Hello @Jberry,
The information I provided only applies to cloud recordings. If you are recording locally, to hide the active speaker from appearing in the top right corner during a screen share, you have to modify the Recording Settings in the Zoom client to deselect or uncheck the option "Record Video during screen sharing". Snap shot below.

Please see the following support articles for more information.
If the information provided has answered your question, please click the Accept as Solution button below so that others in the Community may benefit as well.
DDubZoomer