Correct. Stoicism was for two audiences. Those doing the killing to be indifferent toward it and for those being killed to be indifferent about it.
Marcus Aurelius the historical figure was a monster who killed a measurable portion of humans alive at the time
I mean... so did a lot of other rulers. As far as emperors go, Aurelius wasn't that bad. You have to judge historical people by their peers, not by your own modern standards.