No. You do not need to uninstall BioExplorer when using Cygnet. BioExplorer and Cygnet can be installed on the same computer without any problems as long as you do not use both programs at the same time.
When Cygnet is installed, it detects which Somatic Vision games have already been purchased and registered and does not require reinstallation or reactivation of those games. It is recommended you do not uninstall any of your Somatic Vision games for that reason.