It's not a tax on products (like VAT), it's a tax on specific difficult to acquire resources.

The costs of some things that you mention (oil, electricity) might well go up, but the costs of others might stay the same or drop depending on how much of their cost if attributable to labour costs. Locally sourced food might go down in price.

These price changes are exactly what the tax aims to achieve (e.g. lower energy use)

As some other commenters have pointed out, those particularly hard up can be compensated in some other way (e.g. tax credits).