Ok, sure, but what's the point of growing vast amounts of cotton when we can grow saffron which is often worth its weight in gold? Or even opium if you don't mind the effects. Cotton never really gets there, even with the cotton gin.
In any case, eschewing food production (we were given a warning) or production of more valuable crops just to spur the possible invention of a cotton gin is ridiculous. This is likely to cause more problems than not, especially as we recover from the plague.
Food and spices should be the name of the game. We can outcompete even the saffron isles for spices because of our agricultural primacy. If you want us to be a big(er) name on the Silk Road, spices is going to be the name of the game.
I argued that Cotton is not the devil. If you look a few posts before, I specifically argued that we should take every action that increases labor demand, including Expand Economy. And spices.
As for the Silk road, I'm not too scared about it. We are broadly speaking in the middle of it. Or middle-ish. Certainly not at the end.
As such, the trade will pass through our lands, and with it the Wealth. We aren't the endpoint like Europe was. As such, Silk moves through our territory (unless they want to brave the steppes...) and silver moves back through our territory and economy. In the meantime, we can export everything else we produce in both directions. Kinda like Trelli.
We are likely to see some drain, but remember that our Patricians aren't that wealthy on an individual basis compared to Rome. I don't think they can afford to lose that much silver on fancy clothing.
Additionally, the reduced distance means we don't have quite that high a price as the end of the route faces. There are a few mark-ups all along the way, but we aren't quite at the end of it.