The part which would really make sense for this would be something like an extension to <picture> or <img srcset> which would allow you to provide the byte ranges for each resolution so the client could issue a standard HTTP range request for the level of pixels it actually needs. You'd still have one file to manage and CDNs could cache it intelligently rather than lowering hit rates by caching different versions.
Judging from the video, something like that could work very well (and much better than with progressive jpegs).
The client could decide BY ITSELF to download only 2K for a thumbnail because it's currently on 3g.
It would take a few extra seconds when creating it, but could save both bandwidth and create a better user experience on mobile.
It'd be more accurate to compare it to a pre-generated resizing of the original image (at the same effective resolution as the "half downloaded" FLIF).
Though I'll gladly take your logic and call the first 1/64th of a progressive JPEG lossess (which it is, since at that point you only have the DC offsets of basic blocks, which undergo no lossy compression).