Only user-scoped credentials are displayed in job configuration pages when the job is configured to authenticate as a specific user.
But non-user-scoped credentials also should be displayed when the user has the Credentials/View permission.

This behavior is inconsistent with the behavior that users with Credentials/View permissions can see non-user-scoped credentials in the credentials page. This is confusing for many users.

Steps to reproduce:

1. Launch Jenkins
2. Install following plugins:
   • Credentials Plugin 2.2.1
   • Authorize Project 1.3.0
   • Matrix Authorization Strategy Plugin 2.4.2
   • Git 3.11.0
3. Create following users
   • admin
     • All permissions
   • user1
     • All permissions except Overall/Administer
4. Configure Access Control for Builds:
   1. Go to Manage Jenkins > Configure Global Security
   2. Add "Per-project configurable Build Authorization" in Access Control for Builds
   3. check "Run as Specific User"
5. Add following credentials:
   • nonuserscoped1
     • Credentials > Jenkins > Global credentials (unrestricted) > Add Credentials
     • Configure as following:
       • Kind: Username with password
       • Scope: Global (Jenkins, nodes, items, all child items, etc)
       • Username: nonuserscoped1
       • Password: nonuserscoped1
       • ID: nonuserscoped1
   • userscoped1
     • Login as users1
     • user1 (by clicking the username in the right up)> Credentials > User: user1 >
     • Configure as following:
       • Kind: Username with password
       • Username: userscoped1
       • Password: userscoped1
       • ID: userscoped1
6. Login as user1 and open user1 > Credentials page.
   • nonuserscoped1 and userscoped1 are displayed. This means users can expect both nonuserscoped1 and userscoped1 are available for user1.
7. Login as user1 and create a free style project "test1" and select "Git" for "Source Code Management"
   • "nonuserscoped1" is listed in "Credentials".
   • "userscoped1" is not listed in "Credentials".
8. Open "Authorization" of test1, check "Configure Build Authorization" and configure as followings:
   • Authorize Strategy: Run as Specific User
   • User ID: user1
   • Don't restrict job configuration: leave unchecked
9. Open "Configure" of test1 and see "Credentials" in "Git"
   • "nonuserscoped1" is not listed in "Credentials".
     • Even though it is listed in user1 > Credentials page. This must be unexpected for many users.
   • "userscoped1" is listed in "Credentials".

This is caused for SystemCredentialsProvider provides credentials only to SYSTEM user.
https://github.com/jenkinsci/credentials-plugin/blob/credentials-2.2.1/src/main/java/com/cloudbees/plugins/credentials/SystemCredentialsProvider.java#L446

Git plugin looks request credentials for authentication of the job correctly, and this looks an issue of credentials plugin:
https://github.com/jenkinsci/git-plugin/blob/git-3.11.0/src/main/java/hudson/plugins/git/UserRemoteConfig.java#L103