Packages don't run the software they install unless it installs a daemon or something.
I don't know enough about Linux to verify that the Keybase package does everything right; I delegate that to the Debian packagers and don't install anything as root unless it's from the Debian package repositories. Any software that I need that isn't in the distro is installed to a folder inside my home folder, where it might conflict with other custom installed software, but at least it won't break the entire system.
I've built my own Debian packages at work, but I'm not a total guru yet. I've never ran into issues with KeyBase yet on Linux, but honestly you could always open up a GitHub issue with your concerns to find out.
Edit:
Best I can tell from their github they install KeyBase to /opt/keybase specifically, or at least the main stuff, which is what third party packages usually do.