In starting a number of both Real Stars and Random Stars games I've noticed a fairly significant difference: Randomly generated stars seem to choose a spectral class roughly at random, generating stars that are on average pretty Sol-like. In contrast, Real Stars games you are much more likely to run across smaller stars, because they are much more common in the galaxy. As an example, in the default Imperium of Man save in the 1.11.0 install, there are 29 known systems with an average JP survey cost of 242. I went with spacemaster and generated a similarly sized Random Stars galaxy and got 382... very close to Sol's 400.
This ends up being pretty significant. Sol-type systems are generally more valuable, but slower to explore, while the smaller systems are the opposite. The Random stars games tend toward slower expansion but with more options in any given direction, while Real Stars is faster with development focusing on a fewer number of valuable systems. I like the rate of expansion and development of the Real Stars games, but Random is fun too.
Anyway, I don't know how realistic it is, but it might be cool to have a modifier for "average star mass" in the game window, where you could change that as you see fit.