Um, Newport, those methods don't really add much (if any) CO2 to the mix, which is what's important here. I don't see how simple stirring (any method) does that; it won't add an appreciable amount of CO2 unless you have some sort of injection method.
According to someone who's experimented with it and CS in general has indicated adding CS to carbonated water produces very good effects toward these ends. I will try that myself this weekend. Others may wish to try that as well and see for themselves if it increases the efficacy of their homemade CS. I thought some of the folks here would appreciate this info.