Although I'd made the Republic-slingshot, my core area was pretty poor (River-Plains, but Mountains blocking several 1st-ring sites, Tundra due north, Hills + Desert to the west), so couldn't grow as fast as my southern neighbours. So (although they had an 'unfortunate' falling-out later, aided and abetted by yours truly

) the Ottomans and Mayans were ahead in tech for much of the Medieval. I got the FP-alert shortly after going to Republic, but only by virtue of conquest; and all my 1st-ring core-towns were too busy at that point building units for the ongoing wars for me to feel comfortable diverting shields into the FP instead.
Due to the extensive Mountain ranges on this map, Salamanca was at 2nd-ring (CxxCxxC) distance from London, with Karakorum only about 6-7 tiles further beyond it. So my core didn't really feel secure until after I'd conquered the Iroquois (due south), the Mongols (south of them) and incidentally put the final nail into The Jerk's coffin-lid. But by that point, I was already pre-building ToE and Hoovers; and though one of my combat-Settlements in former Mongolia made a very nice FP-site, I had to hand-build it, because I didn't get
any MGLs until Ozzie
finally got reckless enough to DoW me, shortly after The Jerk's demise.
(That said, I did get at least one SGL — for Chemistry, IIRC — which I used for JSBachs, for the dual benefits of universal happy-faces against WW, and AI-Wonder-cascade disruption).
I beelined MilTrad, but only just made it there first, and Ozzie got it shortly afterwards (he'd also built SoZ, and had Iron, Horses and Saltpeter). I'd gone fairly light on defence, so only had a few Muskets + Cannon at that point, but even if fortified on the southern Mongolian Mountains, I didn't fancy their chances vs. Sipahi. And while Nationalism would have been quicker for improved defenders, it wouldn't have improved my bombardment, or my unit-movement. So I wanted (at least) Steam and RepParts before I took on the Ottomans (the last live rival on my Continent) — but even once I had those techs (and Infs + Arty + Cavs), they still took a while to crumble, since they still had a lot of units (the Mayan war may have given Ozzie his GA, not sure).
Also, I wasn't playing in a particularly focussed fashion: though I didn't really need to, I eventually researched as far as Tanks for invading former Babylon (long since overrun by the Celts: Hammi was left huddling on a 1-tile island). And given that I only needed 3 towns (~27 tiles) in former Babylon to win, I could probably have won about a century earlier, if I'd just cash-rushed a few (more) Settlers to fill the Culture-holes that were left between my Ottoman conquests...