Default Task Record Type Based on Project

We have two record types, one for customer and non-customer projects. They have different page layouts and fields used. They also are tied to automation and validation rules...

We also have a corresponding task record type for each project. It would be great id we could map a default task record type based on the project record type. This wouldn't (and shouldn't) prevent a user from being able to add tasks of a different record type, but it would make it much easier than having to select the record type when creating every task on an internal project...