@herzenschein if there are env vars you want to pass through there is the --setenv= switch which you can use to set env vars explicitly or copy them from the client side.
$DISPLAY we won't copy by default, if that's what you are asking, because it's not 1995 anymore.
@pid_eins Right. My question is mostly about consumption: if a distribution could safely recommend replacing sudo with run0 without things breaking, and if a user could safely replace sudo with run0 without major workflow changes.