What's the difference between Domain Group and Group Domain?

Context

What's the difference between these two modules?

View Group Domain on Drupal.orgGroup DomainCovered by the Drupal security advisory policy (89 installs)

View Domain Group on Drupal.orgDomain GroupCovered by the Drupal security advisory policy (28 installs)

Discovery

From the Group Domain project page:

Allows accessing of groups and their content on a different domain (mapping domains to groups).

Similar module:
View Domain Group on Drupal.orgDomain GroupCovered by the Drupal security advisory policy (28 installs) - integration of Group and Domain modules, different in terms of adding everything that Domain has that may not be needed in many cases.

Sounds like Group Domain is a simpler solution for setting up groups as a domain.