Troll - with utmost respect for your intentions:
Vinegar, table salt and detergents all meet the general definition of "chemicals". Using such items to control a pest places them - by EPA definition - into the "pesticide" category (regardless of their origin).
Nicotine sulphate (an organic substance) was one of the original insecticides utilized in agriculture. It was banned for such uses decades ago in the US (due to its carcenogistic characteristics).
In reality, table salt and vinegar are more "toxic" than many modern herbicides. Dosage makes the "poison".
As for economy: unless your mixture-cost was less than $1.10/gal., it was more expensive and labor-intensive to utilize. KD