I did some calling to where I get my heavy textile repair supplies, and this is what I was told about thread lubricants in general (of which of these Sewer's Aid is is your own guess):
A synthetic silicone based thread lubricant has the following ingredients: naptha solvent, petroleum mineral oil, paraffin wax, and stearate, methyl.
A petroleum based thread lubricant contains the following ingredients: petroleum solvent, petroleum mineral oil, paraffin wax, and stearate, methyl.
Now I don't know which I should use. I thought I was always staying away from the petroleum based products and wasn't. I also was told mineral oil blocks water, and baby oil is just scented mineral oil.