Thanks for reporting this. (It's also discussed as
Issue 771 on our GitHub repository.)
So far, we haven't been able to figure out a way to get macOS to show anything other than "Jonathan Bullard". macOS apparently does that because "Jonathan Bullard" is the identity that digitally signs the program. macOS is ignoring that the program is part of Tunnelblick, which it uses for our other background item. If macOS could at least display the name of the Background item, that would help, too. It's named "Tunnelblick-LaunchAtLogin".