I think when you remove ingroup and outgroup and just keep the argument for the attitude toward yourself/others it becomes more obvious what I mean. Otherwise it really depends on where you draw the boundary for the ingroup (e.g. your close family)/outgroup (e.g. your neighbors) which leaves a lot of room for interpretation.
I guess my view is that it's easier (and has fewer negative side effects) to get people to care about others by expanding their ingroup than by making them care about their outgroup.