Actually, I'm thinking I might skip hunting and animal husbandry completely (trade for them later). My issue is that we have a pop max of 4 (limited by happiness). Putting a camp on the deer just means hitting it earlier, especially if you've already put a boat on the clams. I'm pretty sure my first tech is fishing... I think the tech path will be too slow on 1 gpt only. The health bonus from the deer doesn't matter much, happiness will limit us first. The main value I see for going hunting and AH first is to start cranking out settlers... but I think the penalty on slow techs makes this risky. On the other hand, if as other suggested we are on a peninsula, then getting a few settlers out quickly might be very important. This start position really does create some interesting decisions.
And... if I don't research hunting, I'm not seeing much value in building an early worker. He mines the hill, then is idle. I suspect I will have a few warriors, a boat, and a maybe settler out before I build my first worker. Really depends on whether I decide to research BW before going for writing and alphabet. If I slip BW in early, it would be good to have a worker to chop those few forests.
So, while I may not "go for" an early religion, I may use that path to writing. If I get a religion, that is great, if not, oh well. The real question for me is timing of BW... not so much for chops (too few trees), but I am anxious to figure out where the copper is.