From what I see that appears unlikely.
While I imagine the city will win on appeal in totality, the best argument against the ban was that it did not include certain classes of drinks in a somewhat arbitrary manner as well as certain food establishments.
If you look into other statements the judge appears to be arguing that the board of health needs to be targeting imminent threats of disease. Trans fats are directly linked to a number of different diseases. Sugary sodas on the other hand are a proximate cause. The link for soda is:
soda -> obesity -> diabetes, bad stuff, etc.
for trans fats it is:
trans fats -> heart disease.
The problem with that is that there is correlation with trans fat -> heart disease, but no actual causation link. That's the problem with most of this diet crap.
First off, heart disease can happen regardless of ethnicity, diet, exercise level, or anything else. A recent study of mummified remains from many cultures and date ranges up to thousands of years has shown this. There are remains from people that solely eat nothing but fish and green vegetables having calcium clogged arteries and most likely dying of heart disease. These are people that had very little access to salt, trans fat, sugar, complex carbs, or any of these big "no-no" diet pushing. That most of the diseases that people from as they get older are more directly related to being OLDER. Much of the break down of our bodies is because of age. We die because we get old. Simple and absolute.
We can prolong life by trying to influence certain things in our every day lives as they directly relate to ourselves. If trans fat or sugary drinks is directly impacting the health of one person and not another, why does the government need to step in and tell the person not having problems that he/she can not do anymore what they used to? Everyone is different, and everyone's bodies respond differently. Some people have massive problems with sugar in their systems, some have less problems but exaggerate them because they can't control themselves, and others have no problems what so ever.
Obesity is more directly linked by correlation to over eating, aging, and sedentary life style than any other variable out there. Those are the 3 main factors to obesity and thus health problems related to obesity. Are we going to have government regulate those next? Hey Joe, I order you to stop getting older, it's causing too many health problems for society to deal with. Yah that will work.
What has always made the US a great nation is one of personal freedom's and accountability. We are not historically the nanny state that other countries have always been. That's been changing massively in the past 100 years or so. Too much power to the federal government, and even state level government. While at the same time too many people willing to let those in power tell them what to do.
The government has a role and a place. I always have thought the role of the government was the adult supervising kids on a playground. Let the kids run around, have fun, and play however they like. Only step in when there is a problem, altercation, or something else that the kids themselves can't resolve. Once the problem is solved, back off and let the kids play again. Instead we now have a government regulating more and more on that play ground.
Basically I'm glad the law was struck down, and other nanny laws like this need to be struck down every time. That is NOT the role of government.