I think exploration was always one of my primary interests in the game, and I haven't really needed an "inspiration" to make me do that.
But for my non-exploring playstyle, one of the most "inspirational" things to happen to me, happened during the Bast Plague.
I had been enjoying the "itinerant tramp merchant" lifestyle, drifting about space in my Cobra III, following the Great Rares Route to both see the (inhabited parts of the) galaxy and to make some reasonable money doing so. This was way back when making 10000 cr/t profit on Rare Goods was considered "reasonable money".
I stumbled upon the Bast system during my circuit, and found it was the hub of activity regarding the then-current Cerberus Plague CGs. I'd read the CG threads on the forum but never really got involved with them much, as there's very little that a lone Cobra III pilot can contribute to a CG.
For those who weren't there at the time, a space station afflicted with the Cerberus Plague was completely shut down. You were allowed to dock, buy fuel, and leave, and that was it - no missions, no goods for sale on the commodity market and, significantly, no functioning shipyard. This was before the age of ship transfers too, so if you were using a plague-afflicted station as your base to store all your ships, too bad - you were stuck and your other ships were all locked away in quarantine.
The CG threads were full of complaints, mostly battle-jocks complaining how they were now stuck in their bubble-taxis while there warships were all impounded. There was one notable exception.
Cmdr Kancro Vantas was a founding member and instigator of the SEPP player group, an early player-backed NPC faction dating way back, long before player-made factions were a thing and "player-adopted factions" were your only choice in BGS work. SEPP is based in Eleu, and the capital station of the Eleu system was a plague-hit station. As a Rares trader I was well familiar with the Eleu system, though had never paid much attention to the local politics. But while others were complaining about how the plague in Eleu and elsewhere was cramping their lifestyle, Kancro was distraught at how the plague was affecting his homeworld, his friends on the station. He was begging people to help find a cure for the plague, so that his home, his people, could be made whole again.
I was moved and inspired to do my part.
So I was there when Bast became the "line in the sand" which the player community was going to save, no matter how much it hurt. And it hurt, a lot. Curing Bast meant, for many players, pulling all-nighters shuttling medicines and supplies into Bast; CGs weren't as well-designed back then and by the end of the CG, people were making a serious loss in shuttling those supplies. But they did it - a CG that was "designed to fail" had succeeded anyway, and FD were forced to re-write their plans (whatever those plans might have been) to accommodate the massive player effort.
How did it "change me"?
I started caring about the BGS - about the various star systems I had spent time in (including Bast).
I started getting involved in CGs and paying attention to the CG storylines. Whenever I wasn't out exploring, I was usually CGing.
I started getting a lot more involved in the forum here, in helping make the forum community just that little bit better. ED might be set in a dystopian universe, but that didn't have to carry over onto the forums.
And I finally earned enough money through the whole CG saga to acquire an Asp Explorer, the "ship of dreams" for me. It meant I could finally get out into the black and do that deep-space exploration I had been longing to do since joining the game.