I played from week one of release in 2003 until late 2009. Both solo, in small groups, and even in an alliance at one point. I PvPd, solo'd, and fought in faction wars (stealth bombers ftw). I always enjoyed the solo experience more. My favorite times in Eve were when running through the m0o blockades of Mara and Passari, avoiding tank CEO and his camping Megathron in Vale of the Silent, and solo mining bistot deep in the Wildlands and having my alts bring it up to The Forge. I did all that solo. So yes it was possible to play that way, but I think I was lucky that I was there early on in the game and learned how to live under the noses of big alliances. I even competed in the first great space race organized by a dev (iircc late 2004ish) - who was later accused of leaking the route to his alliance mates that had gathered along it and popped all the contestants except the guy from that alliance! (but I digress

).
I was one of the first to mine for mercoxit, again all deep inside alliance controlled areas and again ran the blockades from 0.0 into high sec to get it refined.
But it became a chore, not fun anymore. Eventually I moved permanently to a 0.4 system and put everything I had into a POS and capital ship component blue prints and began building Carriers from the first day those blueprints appeared on the markets. Later still my agents produced a Deimos bpo for me and I added that into my manufacturing business. I ran POS's solo, made billions upon billions when a billion was worth something.
Point is, and with hindsight, I can look back and realise that I probably stopped enjoying exploring the game and doing PvP when it all became too organized thanks to the mega alliances. That, and when coupled with the direction CCP were heading became apparent, it felt like the game I signed up for became more and more niche for me. Lone wolf was always my preferred style of play and I worked hard to adapt from one kind of lone wolf playstyle in those early days, to a completely different style for the last few years I played the game - namely solo manufacturing.
So in regards to Eve I've been there and done it. I find Elite appealing because its rekindled the memories I had in the very first year of playing Eve where I could enjoy the game solo and go pretty much where I liked and when I liked. If any of that alliance crap comes to ED I'll ditch the game sadly. I was sold on the one man vs the galaxy premise, and that's how I intend to play this game. If I want to be another Eve drone and group up, I'll go back to Eve. Its perfect for that kind of thing and has been for a decade.
Bottom line is, there is no need to have it recreated here - CCP have already nailed it and have a decade of refinements and experience behind them - I doubt FD could match or better that concept even if they wanted to (and thankfully they don't).