You're right. Considering the amount of technological progress we did in little over two decades. We have done more than a century worth of innovation due to the glory that is hindsight. I can only shudder to imagine how much we'll continue to grow in a century. Let alone to modern MLP Times.
For in the grim, distant future.
Harmony is still overrated.
By that point I fully expect that we will be a super high tech society and either rule the world or have left to colonize other worlds.
Is anyone worried on what would happen once our Golden Age ends?
Oh I am. My main worry is that, eventually, someone from our line will be stupid, crazy, or incompetent and ruin much of our progress.
If we do a time skip we should at least roll for events that occur during it so as to avoid it just suddenly going to hell in a handbasket without player intervention and there will at least be an understandable "RNG screwed you over" reason for it if it happens.
Also depending on events there may be an event over a timeskip that prevents many innovations from going through.
Either way I think we have established griffons to be the Scientific and Technological masters of the known world for the next few centuries at least if only due to the legacy we (and Archimedes) left behind. After all he has shaped up to be the Starswirl of Technology
A joke idea I had for a shrine of the 'God of Luck' is that we take the entombed in crystal idea and
surround him with statues of dice that holds special magic. That if a devout follower comes to his shrine and tell a good story, doesn't matter if it's real or not. If his spirit enjoy the story told he'll grant his follower a special 'boon' with the dice to increase the chance of any decision they may make to yield good results.
Eh, seems a bit to OP to be let through. Maybe add some limitations and rules so it doesn't unbalance the game.
Also from our achievements I doubt we will be remembered for being "Lucky" so much as being a just and fair ruler with compassion for all races.
Hardbeak is probably going to be remembered for his incredible Honor and combat prowess.
Personally I am hoping the Binding Event (AKA when starswirl bound the pony of shadows) happens in hardbeak's lifetime so he can represent a OC element. Specifically Duty. This if it happens would be refined by the tree of harmony into probably something along the lines of Honor or Chivalry.
Archimedes could easily represent Logic or Intelligence which could be refined into, respectively, Knowledge and Wisdom.
Those are just some ideas that have been bouncing around in my head for a while and I am really hoping we make contact with Equestria at some point before the binding (which in turn was about a hundred years before nightmare moon).
EDIT: Also, if I remember correctly, the binding took place a decent number of years after the petrification of discord (Starswirl was a grown adult during the petrification with a black beard that was a bit shorter and when he bound the pony of shadows he was getting on in years with a light grey beard that was noticeably longer and more wrinkles.)