User Aliasing/Commit User Not Showing Up

Is there a way to alias a user to a computer for all projects?

We have many repositories and have SSH keys set up on our computers, but instead the username showing up from the person who commits from that computer, the SSH Key shows up not referencing the actual bitbucket account that created it. This can be solved by aliasing that key to a user in the project repository, but that means I have to do it for every project and every user working on that project. Is it possible not to even have the keys register? The username is set with the remote git request so why isn't just pulling from there. You may have some reason I am not aware of but that seems more logical to me than to have to reference the user each time. Thanks. Keep up the good work.