Throughout the Black Mirror episode Smithereens we find out that Chris has issues with the Smithereen app, at least partially blaming it and the way it is designed for the death of her fiancée. This can be seen during his rage burst towards the abducted intern and later when giving his "user feedback" to Billy Bauer.
However it doesn't explain why he took all the effort just to confess to Billy. If it was about the confession he could have selected anyone, including his support group. If it was to hurt the company there were better ways to do it. He also doesn't seem to feel any grudge towards Billy himself and doesn't expect anything from him - at the end of his confession he says:
I don't give a fuck what you do now. Beat yourself up or fucking run a victory lap, I don't care. I just wanted to say my piece. I'm gonna go now.
Why did Chris did all that just to talk with Billy Bauer?