No, it's really not. Almost no one is under the impression that all illegal immigrants pay no taxes. More importantly, it makes no sense to compare income taxes 4 individuals to corporate taxes for companies that employ millions of people who pay much larger sums in income taxes.
Illegal immigrants do pay some taxes. Her own Vox article estimates about half pay income taxes. That's kind of a guess (based on how many ppl w/o social security numbers file), but it has nothing to do with corporate taxes.
Large corporations pay huge sums in various federal and local taxes. Some of them do take advantage of the tax code which allows them to lower their corporate tax burden in exchange for more investment = creating jobs. The people in those jobs then pay income taxes.
