Search from Widget should restore default sort

When searching from home page (or from anywhere that uses the search-widget) there's no sort info that is transmittable so that the last chosen sort is used. This is revertible and may be recognized by the user but it would be better to revert to the default sort.

A boosted solution to here would actually store the sort information as part of the search fragment ID so that it doesn't jump a new history frame when entering if given the sort information and URLs are better exchangeable.

Most search engine's URLs include sort in their query parameters which are often exchanged as reproducible URLs.