I am almost 100% sure that in almost every case, warrior -> warrior -> worker is faster than worker -> warrior -> warrior. Unless you can get Bronze working insanely early...
Any civ with mining can get bronze working before the first worker is done - even working a tile with no commerce, so you hardly need to be "insanely fast". More importantly, going warrior-warrior-warrior means you can't work any developed tiles for the first 30 or so turns. That's a massive disadvantage - especially when there's lots for your worker to do.