Suggestion: Merge the two, and make the more-intuitive 'screen-recording' the master. This way the tag wiki is kept as well.
I'm just updating the tag wiki for screen, including all the related tags, so this tag will be the fall-back for all issues not covered separately -- and is the most intuitive to look up in the tag wiki for existing alternatives. If the other tag wikis get updated, they might include a hint to check here (
screen) for those, so they just need to be maintained at one place.