So er... if I may interject, as a general comment to everyone discussing if the destruction of Sol happened or not... even if I don't know the full context of everyone's viewpoints...
The destruction of Sol happened with certainty in the timeline/reality/history/lore that discovery is situated in. Unless you can find a better explanation why the Coalition didn't send a few ships or drones to nuke the newly formed and vulnerable settlements of Liberty, Bretonia, Rheinland, and Kusari within 50 years of their arrival in Sirius.
There are timelines/realities of the multiverse where that did most likely happen, which were the reason why Nomads destroy Sol to create another timeline/reality in the first place.
For more information, plead read this.(also explains the difference between "Nomad" and "Slomon K'Hara")