Snapshot unable to backup multisite Sites with edited names

Because we already have a domain at "oursite.com" we created a subdomain at gsadmin.oursite.com and used that for our WP MultiSite installation.

As a result, our default Site is gsadmin.oursite.com
And any new site is by default siteName.gsadmin.oursite.com

However, we edit those site names in WP to be siteName.oursite.com (dropping "gsadmin"), and then create a redirect on the subdomain in our DNS provider, so those edited subdomains work properly. The results have worked fine so far.

But Snapshot Pro does not recognize the edited name "siteName.oursite.com" as something it can back up. Nor does it recognize the original name, siteName.gsadmin.oursite.com

Will using the Domain Mapping plugin fix this, or is there something else we've missed?