Age of interstellar war --> power vs power conflicts, faction vs faction conflicts in space = interstellar wars
Reshaped by players actions --> we can make factions run a system, help powers expand their influence, participate in CGs where the outcome decides if a station/planetary base/etc is built/added, some player factions get their own mega-ships/stations/etc
Real-world physics --> planets or stellar bodies orbit around massive stars, each moon and planet has it's own gravity that has an impact on your ships behavior, Your ship has a mass you have to deal with, even in SC you are affected by the gravity of stellar bodies. Try switching off FA in normal flight and you will see how physics have an impact.
So as far as I can see it, the game is advertised accurately