No. I'm not claiming that Taunton is the same as Brighton. I gave you a quick pointer towards your request for any studies that show that with no traffic, local businesses thrive. There are plenty (and some, no doubt, more relevant to Brighton than the Taunton case). That particular study does include a few other examples.
I can't remember the details, but there was a survey done in the 1990s of shoppers' spending in Churchill Square. When it was published, it surprised the major traders how much was being spent in their shops by bus passengers and people who had walked to the town centre. Marks & Spencer and Boots, in particular, became great advocates of a park & ride scheme for Brighton and the removal of cars from Western Road.
But you're missing the point I was making. I asked who has benefited when there has been 'no' traffic, not just when a particular area has been pedestrianised. The charges in Brighton are prohibitive and surely designed to discourage people driving to Brighton in the first place. I'm all for pedestrianised areas but you also need to get people to those areas. Also, Brighton is not just about shopping, it is, in the summer, a major tourist destination. Can you point to any specific studies that show towns that ban cars have seen tourism and, more importantly, the amount they spend, go up?