So I tried last night to run this and I got a start position that just wouldn't let me. :-D
My settler and Pathfinder spawned in visible range of a mountain/hills/river/desert tile, so naturally I moved my settler next to the mountain. I wish I had a screenshot... I'll have to go back to the initial autosave tonight and post it. In my 3 tiers I had the following tiles: 1 gems hill, 1 silk jungle forest, 2 forest grassland hills, 5 grassland, and the following desert tiles: 2 gems river hills, 2 floodplains, 1 river sheep, 1 oasis, 3 hills with fresh water, 1 stone and 5 regular desert with fresh water. There's more, but you get the idea.
Almost everything that wasn't desert or a mountain was a river tile. In total, including desert hills, there were at least 14 river tiles. It was the best Petra/Hydro Plant start I've ever gotten.
So, I had to somewhat detour from the strategy. I took 2 growth ruins, 2 tech ruins, a culture ruin and a faith ruin, skipping the upgrades, went Desert Folklore of course, and beelined Petra.
I focused on tech ruins instead of pathfinder upgrades to reduce the delay from beelining Petra, and besides, the pathfinders were a non-issue... once Petra was completed, my production was ludicrous. Plus, I had a very defensible position, and the only person with a clear shot at me was the Maya, who wanted friendship even after I stole a worker on turn 7. :-D
Unfortunately, I missed the Oracle by 4 turns as a result of doing Petra first, and because of the 5 turns I wasted building it, I didn't get NC until turn 100. However, were it not for happiness issues, I easily could have finished Petra, Oracle AND NC by turn 100. Doing Petra first makes the others super-fast, so it doesn't actually delay NC.
Now, this just illustrates the need to adapt strategies to your environment. I pumped out 3 settlers per the strategy and immediately regretted it. I had major happiness issues. I found twelve (12!) CS before I found a single happiness one, which didn't help, but in retrospect, that wasn't the major issue. Because of beelining Petra, I couldn't work the marsh sugar in my 2nd city or jungle silk in my capital, and because Petra wants to work so many tiles, I should have modified the plan to only build 2 settlers initially, and delay the last one until later, just to keep in positive happiness. Basically, my capital growth was delayed because of my satellite cities. It drove me crazy to see all those unworked 1food, 4production, 1faith tiles...
I also finished Tradition before opening patronage, because I wanted that extra growth ASAP, and it takes 20+ turns to see growth benefits from Consulates. The aqueducts and growth bonus kick in immediately. Plus I wanted to speed up Petra/Oracle/NC. And I would have gotten all three if I hadn't planted that 4th city and killed my growth. Curses!
In retrospect, I might have been better off going OCC, because my growth waaaay outpaced my happiness. Or 2 cities. Anyway, it doesn't matter that I missed Oracle, because I'm now a production machine. It will probably delay my win by 20 turns, but eh, oh well. I'll have to try doing it your way next time, assuming I don't get another legendary start. ;-)