This will probably work out. Things could get nasty though if London and York are attacked by two barb warriors simultaneously and we only have one unit for defense. My experience is that a pair of barb warriors this early in the game is unlikely, but it indeed could get tricky, even though we would have an axe in the city and a warrior not too far away on the sentry hill. There will be a warrior built in York fairly soon, as well. Would judge risk worth the reward.
You could use the same argument and say that all whipping before granary is a waste of food. Actually a bigger waste since the food needed to regrow pop is actually reduced by a factor of 2 while the chop yield is only increased by a factor of 1.5 by Math. You're right, of course. I hadn't thought about it that way, but like much of my scenario, it is justified by quicker capture of powerful cities. Anyway, I see your point, there is an advantage in keeping the forests.
This is clearly a problem, but we have to do this sooner or later. The idea was actually to wait 14 turns and then start growing London when York reaches pop3. Do you want to wait longer than that? Certainly until the settler is built, after that I wouldn't want to move off the gold (certainly not for many turns, but off the copper might be worth it) until we get to Mathematics and can start chopping swords.And why? My intuition is that in this case the short term advantage of getting Athens and Carthage quickly, plus quicker research is more important than the long-term advantage of growing sooner onto good, but not great, tiles that our workers would have to improve when they need to build roads and the iron city gold mine. Along this line, I'm anxious to get the York gold mine operating -- not certain we want to grow York to size three before working it. The city will grow at 2f/turn while we work it.
Yes, distance from Tim to Carthage is 13 MP and from London to Carthage it is 16 MP. Not a whole lot of difference. Some roadwork SE of Tim should increase this advantage a turn or two, but the big difference -- and I'd certainly like to test this -- is that, even waiting until after Math, barracks and swords can be chopped in Tim and sent to Carthage much quicker than built in London (and London is closer to Athens than Tim is, so we would not next be chopping in Tim to send units to Athens. We'd be producing units mainly in London for Athens).
There is a potential problem here: Timbuktu is not connected to London so it is not able to build any swords until that is established. I originally thought that connecting London with the river that runs close to Timbuktu would do the trick, but after playing with the world builder to confirm this I'm not so sure anymore. Does anyone know exactly how you can connect to a river with a road? In my world builder example it didn't work out for some reason I don't understand.