Its a vast oversimplification to say that all corporate taxes are just paid by the customers anyways.
Income taxes are a little different, one business may be more profitable than a competitor, and they may have different profit margin requirements to justify building/selling their products, so the adjustments are going to be different per company. But essentially prices are adjusted fir tax levels within what demand allows.
Imagine income tax is increased from 0% to 50%, any business that was already making marginal profits needs to increase prices or go out of business. Assume Dell makes 4% profit margins on pcs, and Apple 20%, Dell can increase prices 2% to retain its after tax profit levels, Apple needs to increase prices 10%, but may not be able to given its competitor Dell did not.