1) The video showed that you could receive a chicken sandwich now. That you were only paying more to receive only ,specifically, a whooper faster. This I thought shows preferential treatment over different types of food (data).
2) the quality of the food was not an issue in this video everyone was receiving the 'same' whooper, presumably.
3) The example burger king made was not quite the same as bribing a Maitre d' to get a table faster than other customers due to limited table resources. The video showed them withholding whoopers that were already made and ready to go, for a certain time-frame, in order to shake down the customer for more money. The idea that others who paid more for their whooper got it faster, due to limited supply of whoopers, was not the issue. The issue was that burger king would be falsely creating a pipeline delay, simply to get money out of the end user.
Although, all metaphors will be mostly speculation, as far as how it will directly relate to future ISP behavior and it's relationship with the end users. How exactly US ISP's decide to use the repeal of net neutrality, debatably, remains to be seen. It would be quite hard to form a 100% accurate metaphor for something that hasn't been fully realized quite yet. I do not mean this to imply that the behavior would in anyway be good. simply that the specifics of it are still unknown.
As a side note I like to think burger king is also inadvertently creating a self-deprecating metaphor. I hope that in the Internet world it is also only the shitty food that is being tiered. If you have to pay more to get Google, Facebook, Amazon (terrible junk food) then no worries for me. Unfortunately that bit of speculation is probably way to optimistic. ;)