Really depends on the tiles around your cap of course, in your example an early worker would rock.
In my Venice game on Emperor standard size fractal map I actually didn't get a worker till very very late.
I walked my settler 1 tile from a hill river spot to a spice river spot.
Had 2x wheats, hill, 2x crabs, forest in my first city ring, then ivory, deer and 2x more crabs in my 3rd ring, rest was pretty much just forest. 7x tiles that are +3-4 food without a worker improvement.
I went scout, scout, granary, bought shrine with hut spoils + early gpt, library, great lighthouse, got a monument from tradition, god of the sea pantheon, used my merchant to ally a culture cs and used the gold to buy 4x tiles to get all the crabs, 2x workboats and a tireme, 2x work boats, traded crabs for gpt and lux, Stonehenge, bought a worker, Oracle to finish full tradition, bought another worker, then chopped my way through a few more wonders, Colossus, Parth, Wguild. Never had a monster city like that so early before on emperor.
I have to admit though that my original plan was to steal a worker but the cs's around me were all giving out barb camp missions so my 1st scout turned archer and my starting warrior were mopping up cs influences that I didn't wanna wreck and the other cs's were to far away that I didn't wanna risk walking a worker from there through barb infested terrain.