The starting location isn't nearly as good in your game as in Snaaty's game, but you're still really slow, especially as this is only Emperor (right?)
To answer your last question, I'd guess wrong tech path, wrong tile improvements, wrong worker priorities, sloppy city management... All these wrong decisions do snowball into slow conquest and slow tech pace. I'm not saying you're doing everything wrong, but that you still have a lot to learn about this game. There is no recipe to a great space race -- everything depends on the map. You cannot just learn Snaaty's strategy by heart and replicate it on every map -- it doesn't work like that.
I think that your main problem is that you always play the same type of game with the same objectives (i.e. very easy maps with the goal of an early space launch). You have to play various games to learn the game mechanics. I don't know Snaaty (wasn't on the forums yet when he was still active) but I'm sure that he's played dozens games (on different maps) before he reached that level. Playing harder games help you understand the game mechanics, it allows you to get a feel for what works and what doesn't, for what's "good" and what's "better".
Don't get me wrong, I am certainly not "blaming" you for wanting to play great space games, but I'm telling you that if you really want to pull off impressive launch dates you have to go through some kind of a learning path. And the best way to do that, imo, is to play forum (deity) games (not necessarily posted by you) where you compare your play to others. Personnally, it's losing games and watching people hopelessly outplay me that made me progress the most in this game.
If you don't know where to start, and are not confident with deity yet, I'd recommend playing BornInCantaloup's Elizabeth game (thread name is Just a Random map). Map is very suited for space and you'll find a great write-up by BiC himself. You can also play some games Lain showcased on his YT channel and compare with the video. And there will always be people giving you good advice and pointing out your mistakes. You just can't ask "how do you land a T200 Spaceship?" -- because there's simply no answer to this question, it's just about rolling a good map and having a good understanding of the game
If I find some motivation, I'll do a quick run to 1AD on your Hannibal map (haven't opened the saves yet)
Edit -
Played a few turns, not gonna play further.
Things about the map:
- A horrible fishing start, but a wet corn + pigs spot 2NE of starting position. And you chose to SIP??
- No horses
- Lincoln's capital on a hill
- AIs very far away
- Only 6 AIs? On a standard map, max AIs for HoF is 10. Should be 10 AIs on the map. Not sure about the setup, but it looks like it is not "massive continents", which it should be. Should also be tiny islands & islands mixed in if you want Sushi later.
- Should have at least 1-2 low-mid peaceweight tech traders (Willem/Peter) that don't give you -1 diplo penalty every time you DoW Linc/Gandhi, or have some neutral AI just to worker-farm.
Now this is still a very rich map, but it doesn't really give you the best conditions to get a super-early space victory. @1AD you should have at least 15 cities, Knights and be rolling over the map -- Oracling CS doesn't do you any good, Oracling Machinery would be much better (and less risky). Should probably be doing 400+ bpt aswell. And work on GPP...