In general, I'm not thinking that such a civilization would be very concerned about the level of development their targets, but would launch the attacks and then worry about committing to them and damage assessments at the appropriate times. Commitment time is probably a few hundred years prior to impact as transmission time and even slight course corrections at that point can cause the impactors to casually miss the target. They would not be concerned about devastating impacts on planets which were less developed than they suspected, and if a target civ. was, after launch of the attack, found to be of a high enough level to potentially detect the attack as an attack, survive the attack and track it back to its origin, then they would have to re-examine their decision, options and course of action.
The unmentioned issue is that, barring a "come to Jesus" moment, the attacking civilization will also continue to grow and advance in its technological prowess with a couple thousand (+) year advantage (Paleolithic era existed for about 2million years, Neolithic era lasted for about 10 thousand years, Alex's empire was actually quite well into the post-Neolithic period and it's disingenuous to use it as you did, but, I understand and accept that there is a modicum of reason within its hyperbole). It doesn't seem unimaginable that a xenophobic tech species civ. might be able to generate a couple hundred light-year bubble around their home system that is devoid of alien competition through a systematic bombardment of any planetary systems within that bubble which seem to be producing diverse and proliferate biomes, perhaps periodically. Of course, none of the planetary systems within that bubble might have ever developed into a competitive threat to begin with, but xenophobia isn't rational in individuals, much less societies.