Institute of Economic Affairs disagrees: Soda taxes
The Institute of Economic Affairs is the UK's original free-market think-tank, founded in 1955.
Early evidence casts serious doubt on whether sugary drink taxes have ‘progressive’ health benefits either. Low-income consumers do not seem to have particularly elastic demand for sugary drinks. Even if they enjoyed disproportionate health gains from sin taxes, they would still suffer a net loss to their welfare and the tax would remain regressive in the traditional sense.source