We're probably a little bit too early to be focusing on these things. Not sure if we actually need a symbol for every bitcoin denomination, but if we would, It'd probably make more sense to focus on bits and mbits first. We're probably a long way of seeing things priced in sats.
I think at this point it will only create confusion, newbies will be thinking that it's some new cryptocurrency, and maybe some scammers like Roger Ver and Craig Wright will see it as an opportunity to defraud more people, by making some new shitcoin with similar symbol. We are currently using identifiers like "sat", "mbtc", "μbtc" and they are pretty intuitive and easy to understand even if you see them for the first time. If we'll have a symbol for satoshis, I think it should resemble the Bitcoin logo for better recognition.