Lower corporate taxes absolute changes the economic incentive structure and encourages businesses in different ways.Lower corporate taxes won't do shit except inflate some bank accounts.
Corporate taxes aren't a tax on the rich. That tax burden is ultimately shared by every stakeholder in the corporation: ownership, employees, customers, partners, etc. Corporate tax isn't a progressive tax.
If you want to tax the rich, tax the rich. Don't attack the companies out of a misguided belief that the only people who benefit from a corporation are the shareholders.