Search bar results link and SearchPage don't load new results after first view

[dtlhlbs]

Have you read the Contributing Guidelines on issues?

• I have read the Contributing Guidelines on issues.

Prerequisites

• I'm using the latest version of Docusaurus.
• I have tried the npm run clear or yarn clear command.
• I have tried rm -rf node_modules yarn.lock package-lock.json and re-installing packages.
• I have tried creating a repro with https://new.docusaurus.io.
• I have read the console error message carefully (if applicable).

Description

The See all n results link at the bottom of the search modal from the search bar doesn't load new search results if the SearchPage is already loaded.

Reproducible demo

No response

Steps to reproduce

1. Go to https://docusaurus.io/
2. Search for "Admonition" using search bar
3. Scroll to bottom of modal to the See all n results link
4. Select results link and view all results
5. Open the search bar on the top right and search for "Blog"
6. Scroll to bottom of modal to the See all n results link
7. Select results link and view all results

Expected behavior

URL changes to https://docusaurus.io/search?q=blog
Results for "Blog" would be displayed on the search results page

Actual behavior

URL changes to https://docusaurus.io/search?q=blog
Results for "Admonition" are still displayed

Your environment

https://docusaurus.io

Self-service

• I'd be willing to fix this bug myself.

[slorber]

Thanks, will be fixed in #8757