Seeking clarification about support of GTM and route domains

I have since seen Manual Chapter: Configuring GTM on a Network with Multiple Route Domains ( https://support.f5.com/kb/en-us/products/big-ip_gtm/manuals/product/gtm-implementations-11-1-0/8.html ). It seems that the name of the server one specifies in GTM plays the differentiating role in telling apart virtual servers with the same IP addr but in different route domains.