I think most people will cope. There are a surprising number of people with no mortgage/very low mortgage. There are another cohort of people coming to the end of fixes who will have a bit of a shock, but if it’s (for example) a 5 year fix then in that time their kids may have finished childcare so they are saving on nursery fees, or they’ve gone back to work for more hours/had good pay rises. Add on people who used to commute to London 5 days a week and now only do 2 days a week and save on commute and parking, who will have to divert that cash into increased mortgage payments.
Then there’s a large cohort of people who never really had to budget until the CoL crisis and actually do have spare cash around when they have to be careful (quite a few threads from people like this on MN).
It’s a question of whether those that can’t cope because they are remortgaging whilst income/expenses have changed significantly (took out mortgage, then had kids and now have to pay ££ in childcare for next few years) or who need to move because of divorce/lack of space but can’t afford to will be a large enough group to force action from the government.