I would agree... somewhat, I know that synthetic blends are all over the market for cars, but cars do not use oil in their fuel. The other guy makes a good point about the residue left behind by the synthetic oil, I'm not sure if thats accurate or not.
I'm sure it doesn't need to be brand oil either, any two stroke oil will work, many people told me to stay away from synthetic in my bike because it's "too slippery for the clutch". I've never had a problem with it.
bottom line if it's all two stroke oil I'd just throw some good ol' fashioned earth oil in there and call it good.