Upon saving a workflow (successfully run locally) up to the gallery, I have gotten the following message:

This has occurred for me for Dynamic Input tool when a data source used a Input Data Source Template file that no longer exists (e.g., moved folders, changed name, etc.). To address this, we:
1. Carved out a permanent home for the templates, immune from the temporary nature of "example files", e.g., a folder somewhere away from the data called "Data Source Templates" (and make sure server account can access it)
2. Updated the workflow in any place where a Dynamic Input tool was used, rewiring the Input Data Source Template to the permanent template location.
Now on publish, it works and is safe over time.