I have used molases for a year now and I can say that it adds to girth up to 20%
I use 1 tbls per week in veg.
I use it 2 tbls per gallon per watering/feeding, even after the flush.
I have never had a taste difference, aroma, etc. Just size/girth.
Molases,honey and other sugars are said to increase soil microbials, enhance regrowth, and make the plants use of Nitrogen more effective. Molases will raise the energy level of the plant and act as a natural mild fungicide. Molases is the secret ingredient to many organic fertilizers.