When someone makes a request, automatically grant... -> Contribute Access
This is the access granted after the request is converted to the project.
The access for the Project with the request queue is managed by the sharing of the project itself (under Project Actions -> Sharing on the right corner of the project screen).
There is a project sharing as well on the template side (this time it says Template Actions -> Project Sharing) but this is a general access grant, it's not specific to the requestor.