When using Promoted Builds to manually promote a build and invoke Parameterized Trigger with a parameter of "Pass through Git Commit that was built", the promotion fails with the following message:

This project doesn't use Git as SCM. Can't pass the revision to downstream

The job in question most certainly uses Git for SCM. Without debugging into code, a quick bit of Googling suggests that it may already be fixed with a pull request waiting, as not all actions are getting passed.