If you require EDQ permissions to be given to a new user after installation of a package, you will need to assign the EDQ Non-admin permission set to a user, via permissions set.

To install for all users:

View of Install for all Users

Step Action
Number 1 Select Install for All Users.
Number 2 Click Install.
Number 3 In the Approve Third-Party Access window, Select Yes, grant access to these third-party websites.
Number 4 Click Continue. Installation is now complete.

If installation was not completed, admin will receive an email from Salesforce to say the package installation was unsuccessful.