BUG: With Instant Results URL parameters are not persist on page refresh

[yashumitsu]

Hi,

Describe the bug

With Instant Results enabled, URL query parameters are clearing on page refresh.

Steps to Reproduce

1. Enable Instant Results
2. Open any post with some args in url, for example: <wordpress>/hello-world/?key=value
3. Reload page (F5)
4. Look at the browser address bar: all query arguments are disappeared

Expected behavior

The query parameters should be preserved when you reload the browser.

Screenshots

Screen.Recording.2022-05-18.at.18.01.57.mov

Environment information

• OS: MacOS 12.1
• Browser and version: Firefox 100
• WordPress version: 5.9.3
• ElasticPress version: 4.1.0
• Elasticsearch version: 7.9.3
• Where do you host your Elasticsearch server? self-hosted
• What ElasticPress features do you have currently active? Post Search, Facets, Custom Search Results, Related Posts, Instant Results
• Theme and version: Twenty Twenty-Two 1.1

Additional context