Now that Blender imports EDL exported from Shotcut, and Blender (w. Blue Velvet python script w. ffmpeg) exports .ardour session files, it is possible to edit the audio from a Shotcut project in Ardour.
BTW. Ardour is able to import a video file to play in sync with the imported audio clips - so the sound of the Shotcut project can be edited in sync with video exported from Shotcut: http://manual.ardour.org/video-timeline/operations/
(Looking at those time lines - somewhere the fps might have been set wrong - since the the image and the audio aren’t equal length.)