This is not really possible at the moment on a technical level at the moment or anytime soon; we do not store your search results, the share link is just like a "password" that lets someone without an account perform the same search, but it is done "from scratch" with effectively default account settings. They will get similar results, but there's no guarentee of getting your results.
Nor do the images come from our systems, they are served off of upstream CDNs that we don't control. We could technically do some funky caching of a thumbnail URL and serve that instead, but it could expire at any time and we wouldn't really know.
A nice idea for sure, but the amount of cost/effort required to do this for the gain, we'll have to pass on this for now.