Putting on my F5 hat here...
If I were you, I'd double check to make sure what modifying the software on your LTM will do with your support contract. I'm not saying that it will violate your agreement, because I don't know for sure. That's something you will have to verify. As Aaron said, there's nothing from stopping you installing additional software, but our systems are finely tuned. They were not developed to be an open platform for users to drop additional software onto and anything you do manually to change the file system structure or running process list, may have unwanted side-effects.
-Joe