You're just looking in the wrong place, that's all. Capture assets are in the Libraries panel of whatever desktop app you're using (Illustrator, Photoshop, or InDesign CC).
Open a new artboard in Illustrator CC and scroll down to the Graphics panel in Libraries. Here's a screenshot but let me know if it's still not clear.
Dear Maren and Friends
I have worked out an answer, but not THE answer.
If you send the image created by Adobe Capture via 'Messages', the image itself is transferred, as well as a link to the Creative Cloud 'My Library' vision of the image. Using Messages on my iMac shows the image, which is then easily copied as a .jpg file for subsequent work. I hope that answer is useful until the proper answer emerges.
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I'm SO, SO sorry. I wrote this response almost three weeks ago and never clicked "Add Reply." Today, when someone posted on the thread I noticed it was still here. In case you're still having trouble, a few quick questions:
I noticed that the library that's showing is the default My Library. I don't suppose you have another one where your work is stored?
Are you signed in to the desktop using the same Adobe ID you used to create the work (many people have more than one account; sometimes an enterprise ID and a personal ID)?
Can you see your Library assets when logging in to http://assets.adobe.com (My Assets - Libraries)?
Let me know. Again. My sincere apologies for the delayed response.