Should you save the state in a page with infinite scrolling?

I have a page with infinite scrolling on it.
I display news in descending order of time and new items keep coming in
When people go to the bottom of the page, they load more items automatically and this goes on till my database is not exhausted
I also have a search bar at the top of my page letting people search news
Here is my concern, user loads page, user scrolls down 4 pages
User types something in search box, the 4 pages are completely gone and we have 50 new results instead relevant to the user's search
User clears search, now we load 50 default items once again

Should I save the state of the page when user jumps between searches?

Example, user loads page, goes down 4 pages
User types "Election news" in the search box, default state is stored in local storage with 200 results
User searches "UK news" in the search box, election news with 50 items is stored in local storage
user clears search box
Default 200 items loaded from local storage instantly