When deploying Business process metadata (also known as Sales process or Support process metadata), it's important to note that this metadata is a subcomponent of the Custom object metadata type:
Selecting those two metadata types in your filter will ensure you're able to retrieve those components in the comparison.
Additional information on using custom metadata filters can be found here.
As always, if you run into any issues retrieving or deploying this metadata type, our live support team is happy to assist you via our in-app chat.