The premise does play a part in the determination of the show. For some it lived up to its premise for others it didn't. So was the premise flawed? Did they misrepresent the premise in the episodes? Did they choose to disregard the premise? Did they not do a good enough job of propery explaining the premise? If they state in the show that they'll have limited resources, yet appear not to without it being explained why, then it is not wrong for the audiance to call them on it.