Navigating "Back" to Search Panel doesn't preserve Search results

Ctrl+K to open Search, enter a common word to search for, select a DB type to filter the results, then click one of the results to open the entity.

Now when you navigate “Back”, the Search view is displayed with different results (the DB filter has been reset – but there seem to be other differences too).

It would be quite useful if upon navigating Back to the Search page, the results were the same as before (or the same search was run again automatically)