Prevent component re-render on a link click

[moon0326]

Steps to reproduce

1. Create a new JN site with the latest WooCommerce.
2. Make sure to sign out from wordpress.com
3. Go through the core profiler.
4. Make sure to install/select Jetpack on the extensions page.
5. Continue and you should be redirected to Jetpack connect page.
6. On the sign up page, click on Log in link.
7. Click on Sign up link again.
8. When you click Sign up link, you can briefly spot https://github.com/Automattic/wp-calypso/blob/trunk/client/blocks/jetpack-connect-site-only/index.js component at the bottom of the page.

See #94011 for video.

We've implemented a temporary solution. Please investigate to determine if we can implement a better one.