If "corporations are people" then there should be a way to incarcerate and/or execute criminal corporations. And we the people should do it roughly as regularly as we incarcerate/execute actual human criminals.

Corporations don't actually exist, except on paper. Preserve the records, and you can un-execute them if need be. This suggests we should be executing corporations more readily than we execute humans.

Possibly, but start with prosecuting humans (company staff and directors) as accessories to the crime.