I think in practice, this is going to be an endless source of problems, so much so that it won't be adopted. The usual use case of sudo is that you have a normal shell command, making use of the environment for context in all the ways that shell commands do, but it doesn't have all the permissions it needs, so you add "sudo" as an adverb.
Sometimes it makes use of environment variables. Sometimes stdin or stdout is redirected to a file, or to something more exotic than a file. Sometimes that means it runs inside of a chroot, or a Docker container. Sometimes you care about which process group it runs in.
And sometimes the thing you're running is a complicated shell script or shell-script-like object, eg "sudo make install". In this case, you don't really know what its dependencies are. In fact this is a common enough case that, if run0 becomes widespread, I expect it'll have a flag or a set of flags that make it act exactly like sudo, and I expect people to wind up learning that they should always give run0 those flags.
And I'm kind of worried that when this breaks stuff, the systemd project is going to push forward with some plan to get rid of sudo, and not gracefully accept the feedback that this is breaking things. I'm particularly worried about this because of the whole saga of KillUsersProcesses breaking nohup and screen, which to my knowledge is still broken many years later.