So, ALL things being equal (driver quality, amplifier, cabinet integrity, etc.), an active system would cost much less than separates. Or, theoritically, produce a better result at the same price point.
+1, I would add a better result than a passive setup at even a higher price point for all the reasons you stated. This is confirmed by designer Andrew Jones in one of my previous posts in this thread. If you only have two speakers, maybe not such a big deal to splash the extra cash. When you have a HT of 5 or more speakers that splash of cash can become a tsunami that you could have used on better source components, room treatments, preamp, etc.