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A couple of thoughts:
Most fuel consumption in city driving is due to accelerating the mass of the vehicle, where highway driving, it's the drag on the vehicle. So I would think that reducing the weight of the vehicle would be the most important thing to improve fuel economy when dealing with city driving..
The fuel economy of tires is strictly a distance sort of thing. So tires with low RR work better in highway situations. The benefits are there for city driving, but it doesn't come out as strongly.
City driving also means lots of turns - and since turns is what wears tires - and tires with low RR do not wear well - this seems a bad combination from a dollars perspective.
And lastly, the term "LRR" is not an absolute term. It does NOT mean the tires have low RR. It means the tires have low RR compared to comparable tires (same treadwear and traction characteristics.) Tires with truly low RR suffer from treadwear and traction shortcomings - and in a city driving situation, neither of those sounds like a good thing to have.
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