That's not true, or certainly is RARELY true. And it's not big government lovers who don't buy the idea that corporations just raise prices to offset all income taxes - it's anyone with a decent grasp of economics 101.
Taxes are paid 1) by consumers through higher prices, 2) by owners through lower after tax profits, AND/OR by 3) employees and executives through lower pay and/or bonuses. And where they fall, and in what combination, depends on all kinds of factors. It would almost NEVER be the case that a business could just take its income tax bill and then direct the marketing department to increase prices by the amount needed to net that income tax bill to zero. Econ 101 tells us that's just not how prices get set in a competitive marketplace.