I think that would be super useful as well. But I don’t think there is an implementation for it. Have a look at this thread, where something similar is done for a todo shortcode and it’s parameter.
Another workaround I thought of was to add to a scratch for each specific site that is filled from the shortcode to pass the parameter to that scratch. So when I iterate over that scratch I have the information. I haven’t tried to implement it though. It might not work in your case, because the head is probably build before the content and shortcodes are processed. But maybe referencing in the footer would work…