Well, yeah Niklas, but I'm not sure how to calculate that.

There's also the fact that we can sell buildings and maybe even go to zero lux. These also have a bearing on our income and required gold reserves. The point I was trying to make above is that we only benefit from having economics by switching cities over to wealth. We can save some turns by doing this but at the cost of building more units. Also, we'll reach a point where we will need 11 prebuilds, taking away from the amount we can generate through wealth. The bottom line is economics will cost us 800g which we can only recoup through building wealth, and then only half the wealth we generate can be attributed to economics. Another way to say this is we'll need to 'build' at least 1600g in wealth (after getting econ) just to break even on researching the tech.
Researching economics and building wealth has no impact on how fast we can research the techs needed for launching our ship. We still need 19 turns at 90% and 2 turns at 30% science. (If we can go to zero lux we can do 100% science but the feasibility of that I'm leaving for later.) Without wealth we lose 485gpt at 90% science and gain 157gpt at 30% science giving us the required 8901 gold.
Let's say (for the sake of argument) that we build only wealth in all our cities after getting econ and during our research sprint. We would gain 355gpt from wealth over 21 turns. That's a whopping 7455g meaning we'd need a reserve of only 1446g. We have that much already but we don't have econ. Still researching that in 4 turns and then doing our sprint means we'd have all the techs in 25 turns. Of course we wouldn't have built Apollo or any spaceship parts.
If we built wealth in all our cities without getting econ then we'd make 179gpt for the 21 turns we research. That's 3759g which means we'd need 5142g in reserve for our sprint. We could have that by turn 249 if we began switching over cities to wealth now, sold ten temples and did not research econ. That's the same turn we'd get economics in the scenario above.
We wouldn't save any turns by having econ but admittedly we'd have some gold to spend (over 2500g). But it isn't realistic to have all our cities producing wealth for the rest of the game. We must build Apollo (500 shields) and ten spaceship parts (3200 shields) for a total of 3700 shields. Since shields are converted to gold at 2 to 1 with economics those 3700 shields translate to 1850g. Still a margin of 650g. Not bad.
Actually it sounds rather good. We could research econ in 4 turns then start our 21 turn sprint immediately with a target launch on turn 26. Using that time frame we could calculate our prebuilds, etc.
EDIT: Before calculating prebuilds we should determine if going to zero lux is worthwhile as that changes the rate we can research and the amount of gold needed in reserve.
THEN we need to decide what we'd research after econ. The options are robotics (to try to hide our research efforts) or space flight (so we could build Apollo and begin the casing rather than trying to prebuild everything at once).