In [49154] the async Site Health tests were changed to use the REST API instead of admin-ajax. An unintended side effect of this change was that the loopback tests which tried to ping the site's `admin_url()` were no longer authenticated because admin-cookies aren't provided to the REST API.
This commit adjusts the loopback test to use the front-end `site_url` which checks that cron will function properly. A follow-up ticket will focus on tests that will cover the file editor checks.
Props Clorith.
Fixes#52097.
See #48105.
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