Follow-up from "Resolve "ee_compat_check should remove `ce-` prefix or `-ce` suffix as ee-specific check""

The following discussion from gitlab-ce!20532 should be addressed:

• @rymai started a discussion:

  I think we should start reusing EESpecificCheck here, but that may mean changing EESpecificCheck to be a class instead of a module so I will resolve that as a follow-up issue.