It would have negligible impact on most people with mortgages. Average house price in England is £256,000 which gives an annual property tax of £1228. Some people would end up paying more, some less depending on how the current council tax bands fall on your property. The real impact might be that house prices don't rise as fast but that's not going to manifest itself in monthly outgoings and force people to sell up.
The people who end up paying more would be people with very expensive properties or portfolios of multiple properties.
Average where I live is 400k, but I wouldn't describe people as wealthy or able to shoulder higher taxes. People are scrapping by here.