Do I retain rights to use the app name in the future if I only 'remove from sale'?

I understand that if I delete an app, it will be removed from the AppStore permanently and that the app name becomes available for other users to claim. However, if I only want to avoid new users from downloading the app as it is for now while allowing old users to continue using it, I understand I can simply opt to 'Remove from sale'.

But can someone confirm that in the future I can reverse this action and post a new update? Also, can someone confirm that 'Remove from sale' does not make the app name available to others for use?

Do I retain rights to use the app name in the future if I only 'remove from sale'?
 
 
Q