Hello,
Thank you for your query, and we are so sorry about the trouble this must have caused.
Yes, there’s a difference. As you have probably noted, you may need to choose the property https://domain.com/ and not the sc:domain.com upon connecting your site.
The URL-prefix property also helps keep your sitemap in sync with Google Search Console as we submit it automatically for you. In addition, the domain property won’t work correctly on some sections of the Analytics module such as the IndexStatus.
In this case, please follow our guide here to create the URL Prefix property
https://rankmath.com/kb/google-site-verification/#num-1-1-open-google-search-console

After that, please try reconnecting your Google Account again from WordPress Dashboard > Rank Math > General Settings > Analytics, and don’t forget to check all the necessary permissions.

If the settings are not getting saved properly, please try saving the settings for the Analytics with a different browser such as Google Chrome. If you’re already using Chrome, then you can try it in Incognito mode just to save the settings.
Let us know how that goes. Looking forward to helping you.
Thank you.