Hi, while I don’t really have a first-hand answer regarding the Chrome extension, this one seems to be relatively popular and can download to a sub folder of the main download folder: https://www.imageye.net/
With that, you could either select this sub folder as a scanned folder within Aspect (“File” → “Add Folder(s) to Library”), or add an automatic import (“File” → “Import Photos into Library” and then enable the “Activate Auto Import” switch). Every downloaded image should then more or less immediately appear in the Aspect library after it has been downloaded.