No, the result would have been the same with different facts also.
Step-by-step explanation:
If the case would have been with different facts where people were made to believe that there is cocaine in the soft drink, Then also the result in the case of the Coca Cola company would have been the same and the supreme court could not have stopped the competitors of the coca cola company to name their products as this name.
The reason for this is that there is no danger or harm to the marketing and the sale of the products of the coca cola company with this name.