I think the claim might be something similar, but not quite that extreme. I don't think it strains credulity to think that the majority of large corporations take advantage of loopholes to drastically reduce their taxes.
Of course they do. They are using legal means to reduce their taxes. Why wouldn't they.
Would you decline your mortgage interest deduction, your solar energy or EV deduction, etc. so you could claim you are paying your "fair" share? Go ahead -- nothing is stopping you.