Yes, guess it's a question of luck.
Out of the listed ones, I would only ever dare to try a Texas or green terror. Seeing now how it works for Delboy with the jag, it obviously is possible for some. For me it works with a (false) green terror so far, he is only half as aggressive as my Nicaraguan or firemouth's. But anyway not comparable with a red terror or so from what I've heard unless you get a true GT.
For myself in the past, I found that trying to add one new fish would make all hell break loose, while adding several at the same time worked just fine. Or two fish were always fighting, and after I moved a rock 1" to the side, they were fine with each other. My old tank was really overstocked with CA and SA cichlids (none of the known bad boys at all though), and it seemed to work most of the time, but I wouldn't do it again.