In every other way they are not like people. They are neither mortal nor corporeal (in the sense that a human body can be imprisoned or damaged). They can feel no emotion and are not subject to disease. This is important because humans are limited in myriad ways that corporations aren't and by giving corporations human rights the balance of power between actual humans and corporations tilts to the latter.

For example, while they can break the laws like people, corporations are not punished the same. When was the last time a corporation was "executed" (e.g. corporate charter revoked)?