Remember that the power term is the price you pay for electrical power contracted for your installation. Not dependent on consumption, is a fixed cost.
The final amount of your electricity bill depends on the contracted power and consumption, therefore, that raises the price of the capacity will not always mean an increase in your electricity bill, as it depends also the price of energy term.
In this sense, if the price goes the power term or fixed but lower the price of energy term or variable:
Homes or premises with low electricity consumption will see increased electricity bill.
Homes or premises with increased consumption of electricity, may experience a reduction in the amount of its electricity bill.