I bought the same system some time ago. For some reason, the ingredients didn't work right away. I just opened and re-tightened the lid. This did the trick, I think that the lid was loose.
I do believe that there is benefits to both aerobic and an-aerobic process of fermentation. The "best" way to jump start the process is to allow the yeast to start their re-hydration aerobicly (in open air) and then place them in an an-aerobic (closed) environment.
Now, there is the paradox of fermentation, as I call it. The fact that yeast produce Alcohol and the by-product CO2 is odd because this is the cause of their eventual death. So, in an aerobic situation, yeast can make a viable colony. However, one cannot utilize the alcohol and CO2. This is why we provide an an-aerobic environment to allow the CO2 to be pushed out into the tank, or consolidated into the drinking beverage. But, this means that these chemicals eventually posion the yeast and kill them off.
So, what to do? Waste the products of yeast? Kill them off quickly? Well, you can buy more expensive yeast. There is a yeast strain specifically designed to withstand acohol poisoning to a higher degree. They're used in Wine production. These yeast can last the longest. If they cost too much for you, you can use one of the several strains for Beer fermentation. But the cheapest by far are the baker's yeast.
So, it's all up to you.