ardour may have worded that better than the audacity folks, but make no mistake, as per it's privacy policy ardour will phone home (to check for new versions),

ardour may have worded that better than the audacity folks, but make no mistake, as per it's privacy policy ardour will phone home (to check for new versions), store information about bugs and comply with requests from law enforcement. If you download and use a ready-to-run version of Ardour from ardour.org, the program will attempt to contact ardour.org at startup to determine if you should be notified about a new release of the software. If the computer where you use Ardour is connected to the internet, this process will store the computer's internet address and an identifier for its operating system. If you report a bug to our bug tracker, we will store whatever information you provide as part of the bug report. When Do We Privately Share Personal Data? Never, unless required to by law.